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

Author

N. J. A. Sloane, Nov 09 2013

Keywords

• nonn

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.

Crossrefs

Cf. A005130.

Formula

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

Extensions

More terms from Ludovic Schwob, Feb 11 2023