This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A374820 #21 Dec 18 2024 22:22:12 %S A374820 1,2,4,3,4,18,4,17,199,166,5,46,199,47000,7579,6,100,3252,3813042, %T A374820 410131245,7828352 %N 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. %C A374820 For k=1, these numbers are the Dedekind numbers A007153 counting the number of monotone Boolean functions or antichains of subsets of an n-set containing at least one nonempty set. %C A374820 For k=2, these numbers are Antichain-Boolean numbers, see A374821. %C A374820 These numbers are given by a polynomial in k for fixed n when k>=n. %H A374820 Sara Billey and Matjaž Konvalinka, <a href="https://arxiv.org/abs/2412.03236">Generalized rank functions and quilts of alternating sign matrices</a>, arXiv:2412.03236 [math.CO], 2024. See p. 32. %e A374820 Square array begins: %e A374820 1, 2, 3, 4, 5, 6, ... %e A374820 4, 4, 17, 46, 100, ... %e A374820 18, 199, 199, 3252, ... %e A374820 166, 47000, 3813042, ... %e A374820 7579, 410131245, ... %e A374820 7828352, ... %Y A374820 Cf. A374819, A374821, A374822, A297622, A374824. %K A374820 nonn,tabl,more %O A374820 1,2 %A A374820 _Sara Billey_ and _Matjaz Konvalinka_, Jul 21 2024