A263755 - OEIS

A263755

Triangle read by rows: T(n,k) (n>=1, k>=0) is the number of permutations of n with bounce statistic k.

1, 1, 1, 2, 2, 1, 1, 6, 6, 4, 4, 2, 1, 1, 24, 24, 18, 18, 14, 8, 6, 4, 2, 1, 1, 120, 120, 96, 96, 84, 66, 46, 30, 22, 16, 10, 6, 4, 2, 1, 1

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,4

COMMENTS

Row sums give A000142, n >= 1.

LINKS

FindStat - Combinatorial Statistic Finder, The "bounce" of a permutation.

EXAMPLE

Triangle begins:

1,1,

2,2,1,1,

6,6,4,4,2,1,1,

24,24,18,18,14,8,6,4,2,1,1,

120,120,96,96,84,66,46,30,22,16,10,6,4,2,1,1,

...

CROSSREFS

KEYWORD

nonn,tabf

AUTHOR

STATUS

approved