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 A345041 #10 Sep 01 2022 05:00:08 %S A345041 1,1,2,29,3699,10625002,607758784933,868305359018619811, %T A345041 72322260589630363186583012,141134946941935843819745493472571577, %U A345041 21506852953850913182859127590586670415329232127,213131394708948856925732826175269041102801068792839463406106 %N A345041 a(n) = Sum_{k=0..n} Stirling2(n,k)^n. %H A345041 G. C. Greubel, <a href="/A345041/b345041.txt">Table of n, a(n) for n = 0..34</a> %t A345041 Table[Sum[StirlingS2[n, k]^n, {k, 0, n}], {n, 0, 11}] %o A345041 (PARI) a(n) = sum(k=0, n, stirling(n, k, 2)^n) \\ _Felix Fröhlich_, Jun 06 2021 %o A345041 (Magma) [(&+[StirlingSecond(n,j)^n: j in [0..n]]): n in [0..20]]; // _G. C. Greubel_, Aug 31 2022 %o A345041 (SageMath) %o A345041 def A345041(n): return sum(stirling_number2(n,j)^n for j in (0..n)) %o A345041 [A345041(n) for n in (0..20)] # _G. C. Greubel_, Aug 31 2022 %Y A345041 Cf. A000110, A008277, A047797, A048993, A167010, A345040. %K A345041 nonn %O A345041 0,3 %A A345041 _Ilya Gutkovskiy_, Jun 06 2021