A263775 Triangle read by rows: T(n,k) (n>=0, k>=0) is the number of permutations of n with k alignments.

1, 1, 2, 3, 3, 4, 8, 12, 5, 15, 35, 45, 20, 6, 24, 72, 140, 198, 180, 100, 7, 35, 126, 308, 588, 924, 1148, 1078, 651, 175, 8, 48, 200, 576, 1316, 2560, 4336, 6272, 7616, 7504, 5768, 3136, 980, 9, 63, 297, 975, 2547, 5697, 11295, 20025, 31644, 44400, 54900

Offset

0,3

Comments

Row sums give A000142.

Links

Table of n, a(n) for n=0..53.

FindStat - Combinatorial Statistic Finder, The number of alignments of a permutation.

Example

Triangle begins:
1;
1;
2;
3,3;
4,8,12;
5,15,35,45,20;
6,24,72,140,198,180,100;
...

Crossrefs

Cf. A000142.

Sequence in context: A351407 A193821 A130743 * A206455 A227263 A111574

Adjacent sequences: A263772 A263773 A263774 * A263776 A263777 A263778

Keyword

nonn,tabf

Author

Christian Stump, Oct 19 2015

Extensions

More terms from Alois P. Heinz, Oct 26 2015

Status

approved