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 A382828 #10 Apr 06 2025 05:06:06
%S A382828 1,4,55,1623,82116,6302028,680105112,98011315608,18163969766592,
%T A382828 4205977241171328,1189459906531372224,403300593144673493184,
%U A382828 161454763431242385682176,75337361633768810384542464,40524573487904551618353921024,24890567631479746511661428751360
%N A382828 a(n) = Sum_{k=0..n} (k!)^2 * binomial(k+2,2) * Stirling1(n+1,k+1)^2.
%F A382828 a(n) = (n!)^2 * [(x*y)^n] 1 / ( (1-x) * (1-y) * (1 - log(1-x) * log(1-y))^3 ).
%F A382828 a(n) = (n!)^2 * [(x*y)^n] 1 / ( (1+x) * (1+y) * (1 - log(1+x) * log(1+y))^3 ).
%o A382828 (PARI) a(n) = sum(k=0, n, k!^2*binomial(k+2, 2)*stirling(n+1, k+1, 1)^2);
%Y A382828 Main diagonal of A382825.
%Y A382828 Cf. A382676, A382806.
%K A382828 nonn
%O A382828 0,2
%A A382828 _Seiichi Manyama_, Apr 06 2025