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 A385752 #5 Jul 11 2025 14:52:24
%S A385752 1,1,-3,46,-1967,179351,-29861639,8200834972,-3456505906559,
%T A385752 2118756407303197,-1811589861406160699,2089746219541021377546,
%U A385752 -3164800617505630505525903,6151223064132377579849537011,-15052264342298428131766095419839,45616620088948927404807879986431576,-168785206495071742797011703980958673919
%N A385752 a(n) = Sum_{k=0..n} Stirling1(n,k) * (n!/k!)^2.
%F A385752 Sum_{n>=0} a(n) * x^n / n!^3 = Sum_{k>=0} log(1 + x)^k / k!^3.
%t A385752 Table[Sum[StirlingS1[n, k] (n!/k!)^2, {k, 0, n}], {n, 0, 16}]
%t A385752 nmax = 16; CoefficientList[Series[Sum[Log[1 + x]^k/k!^3, {k, 0, nmax}], {x, 0, nmax}], x] Range[0, nmax]!^3
%Y A385752 Cf. A119391, A192554, A385750, A385751.
%K A385752 sign
%O A385752 0,3
%A A385752 _Ilya Gutkovskiy_, Jul 08 2025