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 A382807 #5 Apr 06 2025 14:57:01 %S A382807 1,1,7,8,-22400,-3821176,733375592,1324952888832,521577465629184, %T A382807 -1322687167356985344,-3493561791052460040192,83811280007607865122816, %U A382807 33603928402796871413168222208,112696506862115060894313558528000,-389416384673353674591900391305326592 %N A382807 a(n) = Sum_{k=0..n} (Stirling1(n,k) * k!)^3. %F A382807 a(n) = (n!)^3 * [(x*y*z)^n] 1 / (1 - log(1 + x) * log(1 + y) * log(1 + z)). %t A382807 Table[Sum[(StirlingS1[n, k] k!)^3, {k, 0, n}], {n, 0, 14}] %t A382807 Table[(n!)^3 SeriesCoefficient[1/(1 - Log[1 + x] Log[1 + y] Log[1 + z]), {x, 0, n}, {y, 0, n}, {z, 0, n}], {n, 0, 14}] %Y A382807 Cf. A006252, A242280, A382792, A382808. %K A382807 sign %O A382807 0,3 %A A382807 _Ilya Gutkovskiy_, Apr 05 2025