A374824 Boolean-Boolean Quilt Numbers: Triangular array T(n,k) of the number of ASM quilts of type B_n X B_k, where B_n is the Boolean lattice of subsets of an n-set ordered by inclusion.

1, 4, 16, 18, 2309, 2406862, 166, 4001278

Offset: 1

Author

Sara Billey and Matjaz Konvalinka, Jul 21 2024

Keywords

• nonn
• tabl
• more

Comments

For k=1, these numbers are the Dedekind numbers given in A007153.

Examples

			Triangle begins:
    1;
    4,      16;
   18,    2309, 2406862;
  166, 4001278,     ..., ...;
  ...
		

Links

• Sara Billey and Matjaž Konvalinka, Generalized rank functions and quilts of alternating sign matrices, arXiv:2412.03236 [math.CO], 2024. See p. 34.

Crossrefs

Cf. A007153, A374819, A374820, A374822, A374824.

Cf. A297622.