- FindStat

edit this statistic or download as text // json

Identifier

St000899: Integer compositions ⟶ ℤ

Values

[1] => 1

[1,1] => 2

[2] => 1

[1,1,1] => 3

[1,2] => 1

[2,1] => 1

[3] => 1

[1,1,1,1] => 4

[1,1,2] => 2

[1,2,1] => 1

[1,3] => 1

[2,1,1] => 2

[2,2] => 2

[3,1] => 1

[4] => 1

[1,1,1,1,1] => 5

[1,1,1,2] => 3

[1,1,2,1] => 2

[1,1,3] => 2

[1,2,1,1] => 2

[1,2,2] => 2

[1,3,1] => 1

[1,4] => 1

[2,1,1,1] => 3

[2,1,2] => 1

[2,2,1] => 2

[2,3] => 1

[3,1,1] => 2

[3,2] => 1

[4,1] => 1

[5] => 1

[1,1,1,1,1,1] => 6

[1,1,1,1,2] => 4

[1,1,1,2,1] => 3

[1,1,1,3] => 3

[1,1,2,1,1] => 2

[1,1,2,2] => 2

[1,1,3,1] => 2

[1,1,4] => 2

[1,2,1,1,1] => 3

[1,2,1,2] => 1

[1,2,2,1] => 2

[1,2,3] => 1

[1,3,1,1] => 2

[1,3,2] => 1

[1,4,1] => 1

[1,5] => 1

[2,1,1,1,1] => 4

[2,1,1,2] => 2

[2,1,2,1] => 1

[2,1,3] => 1

[2,2,1,1] => 2

[2,2,2] => 3

[2,3,1] => 1

[2,4] => 1

[3,1,1,1] => 3

[3,1,2] => 1

[3,2,1] => 1

[3,3] => 2

[4,1,1] => 2

[4,2] => 1

[5,1] => 1

[6] => 1

[1,1,1,1,1,1,1] => 7

[1,1,1,1,1,2] => 5

[1,1,1,1,2,1] => 4

[1,1,1,1,3] => 4

[1,1,1,2,1,1] => 3

[1,1,1,2,2] => 3

[1,1,1,3,1] => 3

[1,1,1,4] => 3

[1,1,2,1,1,1] => 3

[1,1,2,1,2] => 2

[1,1,2,2,1] => 2

[1,1,2,3] => 2

[1,1,3,1,1] => 2

[1,1,3,2] => 2

[1,1,4,1] => 2

[1,1,5] => 2

[1,2,1,1,1,1] => 4

[1,2,1,1,2] => 2

[1,2,1,2,1] => 1

[1,2,1,3] => 1

[1,2,2,1,1] => 2

[1,2,2,2] => 3

[1,2,3,1] => 1

[1,2,4] => 1

[1,3,1,1,1] => 3

[1,3,1,2] => 1

[1,3,2,1] => 1

[1,3,3] => 2

[1,4,1,1] => 2

[1,4,2] => 1

[1,5,1] => 1

[1,6] => 1

[2,1,1,1,1,1] => 5

[2,1,1,1,2] => 3

[2,1,1,2,1] => 2

[2,1,1,3] => 2

[2,1,2,1,1] => 2

[2,1,2,2] => 2

>>> Load all 511 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

click to show known generating functions

Description

The maximal number of repetitions of an integer composition.
This is the maximal part of the composition obtained by applying the delta morphism.

Code

def statistic(c):
    return max(Word(c).delta())

Created

Jul 17, 2017 at 08:48 by Martin Rubey

Updated

Nov 19, 2017 at 22:02 by Christian Stump