A374821 Antichain-Boolean Quilt Numbers: Square table of the number of ASM quilts of type B_n x A_2(j) read down antidiagonals, where B_n is the Boolean lattice and A_2(j) is the rank 2 poset with a unique minimal and maximal element and j atoms.

2, 4, 4, 8, 16, 199, 16, 64, 2309, 47000, 32, 256, 28225, 4001278, 410131245, 64, 1024, 364217, 384285926

Offset

1,1

Links

Table of n, a(n) for n=1..19.

Sara Billey and Matjaž Konvalinka, Generalized rank functions and quilts of alternating sign matrices, arXiv:2412.03236 [math.CO], 2024. See p. 33.

Crossrefs

Cf. A374819, A374820, A374822, A297622, A374824.

Sequence in context: A291778 A089887 A161816 * A240347 A160124 A295293

Adjacent sequences: A374818 A374819 A374820 * A374822 A374823 A374824

Keyword

nonn,tabl,more

Author

Sara Billey and Matjaz Konvalinka, Jul 21 2024

Status

approved