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 A361617 #15 Mar 18 2023 18:37:50
%S A361617 1,2,15,214,4721,146046,5958367,307382090,19459587009,1478414285146,
%T A361617 132440451881231,13787717744245182,1647673524863409265,
%U A361617 223671725058601427414,34184743554559413628191,5837132027535188545269106,1106136052471647285563082497
%N A361617 a(n) = n! * Sum_{k=0..n} binomial(n+(n-1)*(k+1),n-k)/k!.
%H A361617 Winston de Greef, <a href="/A361617/b361617.txt">Table of n, a(n) for n = 0..272</a>
%F A361617 a(n) = n! * [x^n] exp( x/(1-x)^n ) / (1-x)^n.
%F A361617 a(n) = Sum_{k=0..n} (n+(n-1)*(k+1))!/(n*k+n-1)! * binomial(n,k) for n > 0.
%o A361617 (PARI) a(n) = n!*sum(k=0, n, binomial(n+(n-1)*(k+1), n-k)/k!);
%Y A361617 Main diagonal of A361616.
%Y A361617 Cf. A361607.
%K A361617 nonn
%O A361617 0,2
%A A361617 _Seiichi Manyama_, Mar 18 2023