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 A383050 #12 Apr 15 2025 08:26:05
%S A383050 1,64,665,2037,-1316,-1148,16400,-116032,809592,-6059424,49512792,
%T A383050 -442266888,4302605280,-45351578400,515054655360,-6268075470720,
%U A383050 81309027784320,-1118525784929280,16235659302272640,-247395991797912960,3936073920965890560,-64988868076072657920
%N A383050 a(n) = Sum_{k=0..n} (k+1)^6 * Stirling1(n,k).
%C A383050 Inverse Stirling transform of (n+1)^6.
%H A383050 Christian G. Bower, <a href="https://oeis.org/transforms_pari.txt">PARI programs for transforms</a>, 2007.
%H A383050 N. J. A. Sloane, <a href="/transforms.txt">Maple programs for transforms</a>, 2001-2020.
%F A383050 E.g.f.: Sum_{k>=0} (k+1)^6 * log(1+x)^k / k!.
%F A383050 E.g.f.: (1+x) * Sum_{k=0..6} Stirling2(7,k+1) * log(1+x)^k.
%o A383050 (PARI) a(n) = sum(k=0, n, (k+1)^6*stirling(n, k, 1));
%o A383050 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (k+1)^6*log(1+x)^k/k!)))
%Y A383050 Column k=6 of A383049.
%K A383050 sign
%O A383050 0,2
%A A383050 _Seiichi Manyama_, Apr 14 2025