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 A318538 #8 Jul 02 2022 16:09:26 %S A318538 1,1,6,174,24360,15198120,38415132000,376482729702240, %T A318538 14139748304132048640,2040859528996474439366400, %U A318538 1141301651605590355550899891200,2494751188402618305982805631973248000,21474225685319103561274021904272069843353600 %N A318538 Number of n X n (0,1)-matrices with nonzero pairwise distinct rows and nonzero pairwise distinct columns. %F A318538 a(n) = n! * Sum_{i=0..n} Stirling1(n+1,i+1) * binomial(2^i-1,n). %F A318538 a(n) = A318537(n,n). %F A318538 a(n) = A094000(n) * n!. %o A318538 (PARI) { A318538(n) = n! * sum(i=0, n, stirling(n+1, i+1) * binomial(2^i - 1, n) ); } %Y A318538 Main diagonal of A318537. %Y A318538 Cf. A094000, A059202. %K A318538 nonn %O A318538 0,3 %A A318538 _Max Alekseyev_, Aug 28 2018