Identifier
- St001190: Dyck paths ⟶ ℤ
Values
[1,0] => 2
[1,0,1,0] => 3
[1,1,0,0] => 3
[1,0,1,0,1,0] => 4
[1,0,1,1,0,0] => 4
[1,1,0,0,1,0] => 4
[1,1,0,1,0,0] => 4
[1,1,1,0,0,0] => 4
[1,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,1,0,0] => 5
[1,0,1,1,0,0,1,0] => 5
[1,0,1,1,0,1,0,0] => 5
[1,0,1,1,1,0,0,0] => 5
[1,1,0,0,1,0,1,0] => 5
[1,1,0,0,1,1,0,0] => 5
[1,1,0,1,0,0,1,0] => 5
[1,1,0,1,0,1,0,0] => 5
[1,1,0,1,1,0,0,0] => 5
[1,1,1,0,0,0,1,0] => 5
[1,1,1,0,0,1,0,0] => 5
[1,1,1,0,1,0,0,0] => 5
[1,1,1,1,0,0,0,0] => 5
[1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,0,1,1,0,0] => 6
[1,0,1,0,1,1,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,0] => 6
[1,0,1,0,1,1,1,0,0,0] => 6
[1,0,1,1,0,0,1,0,1,0] => 6
[1,0,1,1,0,0,1,1,0,0] => 6
[1,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,1,0,0,0] => 6
[1,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,1,1,0,0,1,0,0] => 6
[1,0,1,1,1,0,1,0,0,0] => 6
[1,0,1,1,1,1,0,0,0,0] => 6
[1,1,0,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,0,1,1,0,0] => 6
[1,1,0,0,1,1,0,0,1,0] => 6
[1,1,0,0,1,1,0,1,0,0] => 6
[1,1,0,0,1,1,1,0,0,0] => 6
[1,1,0,1,0,0,1,0,1,0] => 6
[1,1,0,1,0,0,1,1,0,0] => 6
[1,1,0,1,0,1,0,0,1,0] => 6
[1,1,0,1,0,1,0,1,0,0] => 6
[1,1,0,1,0,1,1,0,0,0] => 6
[1,1,0,1,1,0,0,0,1,0] => 6
[1,1,0,1,1,0,0,1,0,0] => 6
[1,1,0,1,1,0,1,0,0,0] => 6
[1,1,0,1,1,1,0,0,0,0] => 6
[1,1,1,0,0,0,1,0,1,0] => 6
[1,1,1,0,0,0,1,1,0,0] => 6
[1,1,1,0,0,1,0,0,1,0] => 6
[1,1,1,0,0,1,0,1,0,0] => 6
[1,1,1,0,0,1,1,0,0,0] => 6
[1,1,1,0,1,0,0,0,1,0] => 6
[1,1,1,0,1,0,0,1,0,0] => 6
[1,1,1,0,1,0,1,0,0,0] => 6
[1,1,1,0,1,1,0,0,0,0] => 6
[1,1,1,1,0,0,0,0,1,0] => 6
[1,1,1,1,0,0,0,1,0,0] => 6
[1,1,1,1,0,0,1,0,0,0] => 6
[1,1,1,1,0,1,0,0,0,0] => 6
[1,1,1,1,1,0,0,0,0,0] => 6
[1,0,1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,0,1,0,1,1,0,1,0,0] => 6
[1,0,1,0,1,0,1,1,1,0,0,0] => 7
[1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,0,1,1,0,0] => 7
[1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,0] => 6
[1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,0,1,0,1,1,1,0,0,0,1,0] => 7
[1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,0,1,0,1,1,1,0,1,0,0,0] => 7
[1,0,1,0,1,1,1,1,0,0,0,0] => 7
[1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,0,1,0,1,1,0,0] => 7
[1,0,1,1,0,0,1,1,0,0,1,0] => 7
[1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,0,1,1,0,1,0,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,0,1,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,1,0,0] => 7
[1,0,1,1,0,1,0,1,1,0,0,0] => 7
[1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,0,1,1,0,1,1,0,0,1,0,0] => 7
[1,0,1,1,0,1,1,0,1,0,0,0] => 7
[1,0,1,1,0,1,1,1,0,0,0,0] => 7
[1,0,1,1,1,0,0,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,0,1,1,1,0,0,1,0,1,0,0] => 7
[1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,0,1,1,1,0,1,0,0,0,1,0] => 7
[1,0,1,1,1,0,1,0,0,1,0,0] => 7
[1,0,1,1,1,0,1,0,1,0,0,0] => 7
[1,0,1,1,1,0,1,1,0,0,0,0] => 7
>>> Load all 196 entries. <<<
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Description
Number of simple modules with projective dimension at most 4 in the corresponding Nakayama algebra.
Code
DeclareOperation("numbersimplesprojdimatmostt",[IsList]);
InstallMethod(numbersimplesprojdimatmostt, "for a representation of a quiver", [IsList],0,function(LIST)
local A,t,simA,TT;
A:=LIST[1];
t:=LIST[2];
simA:=SimpleModules(A);
TT:=Filtered(simA,x->ProjDimensionOfModule(x,30)<=t);
return(Size(TT));
end);
Created
May 09, 2018 at 22:33 by Rene Marczinzik
Updated
May 09, 2018 at 22:33 by Rene Marczinzik
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!