A231498 Dimensions of algebraic generators of Hopf algebra ASM.

0, 1, 1, 4, 29, 343, 6536, 202890, 10403135, 889855638, 127697994191, 30835684607975, 12548984661501958, 8614128967701807873, 9978249783441321029726, 19509076435279656169459710, 64388117502939421121766340671, 358740327955249666636651777774959

Offset

0,4

Comments

Number of alternating sign matrices of size n which are indecomposable by direct sum. - Ludovic Schwob, Feb 11 2023

Links

Ludovic Schwob, Table of n, a(n) for n = 0..100

H. Cheballah, S. Giraudo, and R. Maurice, Combinatorial Hopf algebra structure on packed square matrices, arXiv preprint arXiv:1306.6605 [math.CO], 2013-2015.

Formula

G.f.: A(x) = 1 - 1/ASM(x) where ASM(x) is the g.f. of A005130. - Ludovic Schwob, Feb 11 2023

Crossrefs

Cf. A005130.

Sequence in context: A276728 A256006 A137646 * A168602 A368452 A000798

Adjacent sequences: A231495 A231496 A231497 * A231499 A231500 A231501

Keyword

nonn

Author

N. J. A. Sloane, Nov 09 2013

Extensions

More terms from Ludovic Schwob, Feb 11 2023

Status

approved