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Identifier
  • St001068: Dyck paths ⟶ ℤ (values match St000015The number of peaks of a Dyck path., St000053The number of valleys of the Dyck path., St001169The number of simple modules with projective dimension at least two of the linear Nakayama algebra corresponding to a Dyck path.)
Values
=>
Cc0005;cc-rep
[1,0]=>1 [1,0,1,0]=>2 [1,1,0,0]=>1 [1,0,1,0,1,0]=>3 [1,0,1,1,0,0]=>2 [1,1,0,0,1,0]=>2 [1,1,0,1,0,0]=>2 [1,1,1,0,0,0]=>1 [1,0,1,0,1,0,1,0]=>4 [1,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,0,1,0]=>3 [1,0,1,1,0,1,0,0]=>3 [1,0,1,1,1,0,0,0]=>2 [1,1,0,0,1,0,1,0]=>3 [1,1,0,0,1,1,0,0]=>2 [1,1,0,1,0,0,1,0]=>3 [1,1,0,1,0,1,0,0]=>3 [1,1,0,1,1,0,0,0]=>2 [1,1,1,0,0,0,1,0]=>2 [1,1,1,0,0,1,0,0]=>2 [1,1,1,0,1,0,0,0]=>2 [1,1,1,1,0,0,0,0]=>1 [1,0,1,0,1,0,1,0,1,0]=>5 [1,0,1,0,1,0,1,1,0,0]=>4 [1,0,1,0,1,1,0,0,1,0]=>4 [1,0,1,0,1,1,0,1,0,0]=>4 [1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,0]=>4 [1,0,1,1,0,0,1,1,0,0]=>3 [1,0,1,1,0,1,0,0,1,0]=>4 [1,0,1,1,0,1,0,1,0,0]=>4 [1,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,1,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,0,1,0,1,0]=>4 [1,1,0,0,1,0,1,1,0,0]=>3 [1,1,0,0,1,1,0,0,1,0]=>3 [1,1,0,0,1,1,0,1,0,0]=>3 [1,1,0,0,1,1,1,0,0,0]=>2 [1,1,0,1,0,0,1,0,1,0]=>4 [1,1,0,1,0,0,1,1,0,0]=>3 [1,1,0,1,0,1,0,0,1,0]=>4 [1,1,0,1,0,1,0,1,0,0]=>4 [1,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,1,1,0,0,0,1,0]=>3 [1,1,0,1,1,0,0,1,0,0]=>3 [1,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,1,1,0,0,0,0]=>2 [1,1,1,0,0,0,1,0,1,0]=>3 [1,1,1,0,0,0,1,1,0,0]=>2 [1,1,1,0,0,1,0,0,1,0]=>3 [1,1,1,0,0,1,0,1,0,0]=>3 [1,1,1,0,0,1,1,0,0,0]=>2 [1,1,1,0,1,0,0,0,1,0]=>3 [1,1,1,0,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,1,0,0,0]=>3 [1,1,1,0,1,1,0,0,0,0]=>2 [1,1,1,1,0,0,0,0,1,0]=>2 [1,1,1,1,0,0,0,1,0,0]=>2 [1,1,1,1,0,0,1,0,0,0]=>2 [1,1,1,1,0,1,0,0,0,0]=>2 [1,1,1,1,1,0,0,0,0,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,0]=>6 [1,0,1,0,1,0,1,0,1,1,0,0]=>5 [1,0,1,0,1,0,1,1,0,0,1,0]=>5 [1,0,1,0,1,0,1,1,0,1,0,0]=>5 [1,0,1,0,1,0,1,1,1,0,0,0]=>4 [1,0,1,0,1,1,0,0,1,0,1,0]=>5 [1,0,1,0,1,1,0,0,1,1,0,0]=>4 [1,0,1,0,1,1,0,1,0,0,1,0]=>5 [1,0,1,0,1,1,0,1,0,1,0,0]=>5 [1,0,1,0,1,1,0,1,1,0,0,0]=>4 [1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,0,1,0,1,1,1,0,0,1,0,0]=>4 [1,0,1,0,1,1,1,0,1,0,0,0]=>4 [1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,0,1,0]=>5 [1,0,1,1,0,0,1,0,1,1,0,0]=>4 [1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,0,1,1,0,0,1,1,0,1,0,0]=>4 [1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,1,0,0,1,0,1,0]=>5 [1,0,1,1,0,1,0,0,1,1,0,0]=>4 [1,0,1,1,0,1,0,1,0,0,1,0]=>5 [1,0,1,1,0,1,0,1,0,1,0,0]=>5 [1,0,1,1,0,1,0,1,1,0,0,0]=>4 [1,0,1,1,0,1,1,0,0,0,1,0]=>4 [1,0,1,1,0,1,1,0,0,1,0,0]=>4 [1,0,1,1,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,0]=>4 [1,0,1,1,1,0,0,1,0,1,0,0]=>4 [1,0,1,1,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,0,0,1,0]=>4 [1,0,1,1,1,0,1,0,0,1,0,0]=>4 [1,0,1,1,1,0,1,0,1,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,1,1,0,0,0,0,1,0]=>3 [1,0,1,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,1,1,1,0,0,0,0,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,0]=>5 [1,1,0,0,1,0,1,0,1,1,0,0]=>4 [1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,1,0,0,1,0,1,1,0,1,0,0]=>4 [1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,1,0,0,1,1,0,1,0,0,1,0]=>4 [1,1,0,0,1,1,0,1,0,1,0,0]=>4 [1,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,1,0,0,1,0,0]=>3 [1,1,0,0,1,1,1,0,1,0,0,0]=>3 [1,1,0,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,1,0,0,1,0,1,0,1,0]=>5 [1,1,0,1,0,0,1,0,1,1,0,0]=>4 [1,1,0,1,0,0,1,1,0,0,1,0]=>4 [1,1,0,1,0,0,1,1,0,1,0,0]=>4 [1,1,0,1,0,0,1,1,1,0,0,0]=>3 [1,1,0,1,0,1,0,0,1,0,1,0]=>5 [1,1,0,1,0,1,0,0,1,1,0,0]=>4 [1,1,0,1,0,1,0,1,0,0,1,0]=>5 [1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,1,0,1,0,1,0,1,1,0,0,0]=>4 [1,1,0,1,0,1,1,0,0,0,1,0]=>4 [1,1,0,1,0,1,1,0,0,1,0,0]=>4 [1,1,0,1,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,0,0,0]=>3 [1,1,0,1,1,0,0,0,1,0,1,0]=>4 [1,1,0,1,1,0,0,0,1,1,0,0]=>3 [1,1,0,1,1,0,0,1,0,0,1,0]=>4 [1,1,0,1,1,0,0,1,0,1,0,0]=>4 [1,1,0,1,1,0,0,1,1,0,0,0]=>3 [1,1,0,1,1,0,1,0,0,0,1,0]=>4 [1,1,0,1,1,0,1,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,0,1,0,0,0]=>4 [1,1,0,1,1,0,1,1,0,0,0,0]=>3 [1,1,0,1,1,1,0,0,0,0,1,0]=>3 [1,1,0,1,1,1,0,0,0,1,0,0]=>3 [1,1,0,1,1,1,0,0,1,0,0,0]=>3 [1,1,0,1,1,1,0,1,0,0,0,0]=>3 [1,1,0,1,1,1,1,0,0,0,0,0]=>2 [1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,1,1,0,0,0,1,1,0,0,1,0]=>3 [1,1,1,0,0,0,1,1,0,1,0,0]=>3 [1,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,1,1,0,0,1,0,0,1,0,1,0]=>4 [1,1,1,0,0,1,0,0,1,1,0,0]=>3 [1,1,1,0,0,1,0,1,0,0,1,0]=>4 [1,1,1,0,0,1,0,1,0,1,0,0]=>4 [1,1,1,0,0,1,0,1,1,0,0,0]=>3 [1,1,1,0,0,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,1,1,0,0,1,0,0]=>3 [1,1,1,0,0,1,1,0,1,0,0,0]=>3 [1,1,1,0,0,1,1,1,0,0,0,0]=>2 [1,1,1,0,1,0,0,0,1,0,1,0]=>4 [1,1,1,0,1,0,0,0,1,1,0,0]=>3 [1,1,1,0,1,0,0,1,0,0,1,0]=>4 [1,1,1,0,1,0,0,1,0,1,0,0]=>4 [1,1,1,0,1,0,0,1,1,0,0,0]=>3 [1,1,1,0,1,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,0,1,0,0,1,0,0]=>4 [1,1,1,0,1,0,1,0,1,0,0,0]=>4 [1,1,1,0,1,0,1,1,0,0,0,0]=>3 [1,1,1,0,1,1,0,0,0,0,1,0]=>3 [1,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,1,1,0,1,1,0,0,1,0,0,0]=>3 [1,1,1,0,1,1,0,1,0,0,0,0]=>3 [1,1,1,0,1,1,1,0,0,0,0,0]=>2 [1,1,1,1,0,0,0,0,1,0,1,0]=>3 [1,1,1,1,0,0,0,0,1,1,0,0]=>2 [1,1,1,1,0,0,0,1,0,0,1,0]=>3 [1,1,1,1,0,0,0,1,0,1,0,0]=>3 [1,1,1,1,0,0,0,1,1,0,0,0]=>2 [1,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,1,1,1,0,0,1,0,0,1,0,0]=>3 [1,1,1,1,0,0,1,0,1,0,0,0]=>3 [1,1,1,1,0,0,1,1,0,0,0,0]=>2 [1,1,1,1,0,1,0,0,0,0,1,0]=>3 [1,1,1,1,0,1,0,0,0,1,0,0]=>3 [1,1,1,1,0,1,0,0,1,0,0,0]=>3 [1,1,1,1,0,1,0,1,0,0,0,0]=>3 [1,1,1,1,0,1,1,0,0,0,0,0]=>2 [1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,1,1,1,1,0,0,0,1,0,0,0]=>2 [1,1,1,1,1,0,0,1,0,0,0,0]=>2 [1,1,1,1,1,0,1,0,0,0,0,0]=>2 [1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>7 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>6 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>6 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>6 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>5 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>6 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>6 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>6 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>5 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>5 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>5 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>5 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>6 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>5 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>5 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>4 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>6 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>5 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>6 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>6 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>5 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>5 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>5 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>5 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>5 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>4 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>5 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>5 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>4 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>5 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>5 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>5 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>4 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>4 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>6 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>5 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>5 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>4 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>5 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>4 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>5 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>5 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>4 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>4 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>4 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>6 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>5 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>5 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>5 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>4 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>6 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>5 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>6 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>6 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>5 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>5 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>5 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>5 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>4 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>5 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>5 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>4 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>5 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>5 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>5 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>4 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>4 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>5 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>4 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>5 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>5 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>4 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>4 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>4 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>5 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>4 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>5 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>5 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>4 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>5 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>4 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>3 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>3 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>3 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>3 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>3 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>3 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>3 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>6 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>5 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>5 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>5 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>5 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>4 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>5 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>5 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>4 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>4 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>4 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>5 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>4 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>5 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>5 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>5 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>4 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>4 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>4 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>4 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>4 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>4 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>3 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>4 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>4 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>4 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>3 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>3 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>6 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>5 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>5 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>4 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>5 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>4 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>5 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>5 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>4 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>4 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>4 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>6 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>5 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>5 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>5 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>4 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>6 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>5 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>6 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>6 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>5 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>5 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>5 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>5 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>5 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>4 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>5 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>5 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>4 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>5 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>5 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>5 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>4 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>3 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>5 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>4 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>4 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>5 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>4 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>5 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>5 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>4 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>4 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>4 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>3 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>5 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>4 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>5 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>5 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>4 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>5 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>5 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>5 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>4 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>4 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>3 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>4 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>4 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>4 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>3 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>4 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>3 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>3 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>3 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>3 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>3 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>2 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>5 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>4 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>4 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>3 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>4 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>4 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>3 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>3 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>3 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>2 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>5 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>4 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>4 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>4 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>3 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>5 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>4 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>5 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>5 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>4 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>4 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>4 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>4 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>3 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>4 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>3 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>4 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>4 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>3 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>4 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>4 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>4 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>3 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>3 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>3 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>3 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>3 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>2 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>5 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>4 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>4 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>4 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>3 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>5 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>4 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>5 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>5 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>4 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>4 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>4 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>4 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>3 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>5 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>4 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>5 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>5 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>4 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>5 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>5 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>5 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>4 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>4 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>4 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>4 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>3 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>4 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>3 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>4 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>3 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>4 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>3 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>4 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>3 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>3 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>3 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>3 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>3 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>3 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>2 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>3 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>3 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>2 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>4 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>3 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>4 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>4 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>3 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>3 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>3 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>3 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>2 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>4 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>3 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>4 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>4 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>3 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>4 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>4 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>4 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>3 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>3 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>3 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>3 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>3 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>2 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>4 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>3 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>4 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>3 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>4 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>4 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>3 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>4 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>4 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>3 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>3 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>3 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>3 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>3 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>3 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>2 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>3 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>2 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>3 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>3 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>2 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>3 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>3 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>2 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>3 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>3 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>3 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>3 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>2 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>3 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>3 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>3 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>3 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>3 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>2 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>2 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>2 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>2 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>2 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1
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Description
The number of torsionless simple modules in the linear Nakayama algebra corresponding to a Dyck path.
A module $M$ is called $r$-torsionfree in case $\operatorname{Ext}^i_A(D(A),\tau(M))=0$ for all $i=1,2,..,r$. A torsionless module is a 1-torsionfree module.
The number of simple 2-torsionfree (i.e. reflexive) modules is given by St001066The number of simple reflexive modules of the linear Nakayama algebra corresponding to a Dyck path.. The number of simple 3-torsionfree modules is given by St001063The number of 3-torsionfree simple modules in the linear Nakayama algebra corresponding to a Dyck path..
The correspondence between linear Nakayama algebras and Dyck paths is explained on the Nakayama algebras page.
References
[1] https://en.wikipedia.org/wiki/Torsionless_module
[2] https://en.wikipedia.org/wiki/Torsionfree_module
[3] Auslander, M., Bridger, M. Stable module theory DOI:10.1090/memo/0094
Code
# Pure combinatorial: count simple modules that are 1-syzygies (torsionless).
# S_i is a 1-syzygy iff S_i is projective (K[i] = 1) or ∃ M(j, l) with Ω(M(j, l)) = S_i.
# Ω(M(j, l)) = M(j+l, K[j]-l) when l < K[j] and j+l < n.
# So Ω(M(j, l)) = S_i = M(i, 1) iff j+l = i and K[j]-l = 1, i.e., l = K[j]-1 and j = i-K[j]+1.

def kupisch(D):
    DR = D.reverse()
    H = DR.heights()
    return [1 + H[i] for i, s in enumerate(DR) if s == 0] + [1]

def statistic(D):
    K = kupisch(D)
    n = len(K)

    syzygy1_simples = set()

    # Projective simples are n-th syzygies for all n
    for i in range(n):
        if K[i] == 1:
            syzygy1_simples.add(i)

    # Non-projective simples: S_i is a 1st syzygy iff ∃ (j, l) with Ω(j, l) = (i, 1)
    for j in range(n):
        for l in range(1, K[j] + 1):
            if l == K[j]:  # projective, Ω = 0
                continue
            ni, nl = j + l, K[j] - l
            if ni < n and nl == 1:
                syzygy1_simples.add(ni)

    return ZZ(len(syzygy1_simples))
Created
Dec 30, 2017 at 14:43 by Rene Marczinzik
Updated
Mar 12, 2026 at 15:44 by Nupur Jain