A178940 Number of flat special rim-hook tableaux.

1, 1, 2, 3, 6, 9, 18, 27, 50, 79, 138, 215, 378, 583, 986, 1557, 2574, 4011, 6630, 10269, 16682, 26041, 41670, 64577, 103434, 159313, 252062, 389895, 611862, 940437, 1474626, 2256927, 3512906, 5384611, 8327274, 12708827, 19646946, 29869723, 45911834, 69859113

Offset

0,3

Comments

See Egge link for precise definition.

A composition of n is a sequence of positive integers whose sum is n. The number of flat special rim-hook tableaux is the number of compositions of n (a1, a2, ..., ar) such that (a1+r, a2+r-1, ..., ar+1) are all distinct. - Mike Zabrocki, Nov 12 2023.

Links

Table of n, a(n) for n=0..39.

E. Egge et al., From quasisymmetric expansions to Schur expansions via a modified inverse Kostka matrix, European Journal of Combinatorics, Volume 31, Issue 8, December 2010, Pages 2014-2027

Crossrefs

Cf. A178941.

Sequence in context: A351018 A180684 A206100 * A018264 A081741 A035522

Adjacent sequences: A178937 A178938 A178939 * A178941 A178942 A178943

Keyword

nonn

Author

N. J. A. Sloane, Dec 30 2010

Extensions

More terms from Mike Zabrocki, Nov 12 2023

a(0)=1 prepended and more terms added by Alois P. Heinz, Nov 13 2023

Status

approved