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.
Original entry on oeis.org
1, 4, 16, 18, 2309, 2406862, 166, 4001278
Offset: 1
Triangle begins:
1;
4, 16;
18, 2309, 2406862;
166, 4001278, ..., ...;
...
A374819
Triangle read by rows: T(n,k) is the number of functions on the Boolean lattice B_n satisfying f({}) =0, f([n])=k, and the Boolean growth rule: f(J union {i})-f(J) in {0,1} for all subsets J of [n]={1, ..., n} and all i in [n]\J, 0 <= k <= n.
Original entry on oeis.org
1, 1, 1, 1, 4, 1, 1, 18, 18, 1, 1, 166, 656, 166, 1, 1, 7579, 189967, 189967, 7579, 1, 1, 7828352
Offset: 0
Triangle begins:
1;
1, 1;
1, 4, 1;
1, 18, 18, 1;
1, 166, 656, 166, 1;
1, 7579, 189967, 189967, 7579, 1;
...
A374820
Boolean-Chain Quilt Numbers: Square table of the number of ASM quilts of type B_n X C_k read down antidiagonals, where B_n is the Boolean lattice on an n-set and C_k is a chain of length k with k+1 elements.
Original entry on oeis.org
1, 2, 4, 3, 4, 18, 4, 17, 199, 166, 5, 46, 199, 47000, 7579, 6, 100, 3252, 3813042, 410131245, 7828352
Offset: 1
Square array begins:
1, 2, 3, 4, 5, 6, ...
4, 4, 17, 46, 100, ...
18, 199, 199, 3252, ...
166, 47000, 3813042, ...
7579, 410131245, ...
7828352, ...
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.
Original entry on oeis.org
2, 4, 4, 8, 16, 199, 16, 64, 2309, 47000, 32, 256, 28225, 4001278, 410131245, 64, 1024, 364217, 384285926
Offset: 1
Showing 1-4 of 4 results.
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