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 A345040 #7 Jun 07 2021 06:51:35 %S A345040 1,2,3,12,268,25853,19339964,68901690994,1638901380861357, %T A345040 363916628499805466764,384738112277336112497203088, %U A345040 4821999492342155731355029409443825,448660704121129122524211570743600451959266,270068948293205668896252888517768674319536620944042 %N A345040 a(n) = Sum_{k=0..n} Stirling2(n,k)^k. %t A345040 Unprotect[Power]; 0^0 = 1; Table[Sum[StirlingS2[n, k]^k, {k, 0, n}], {n, 0, 13}] %o A345040 (PARI) a(n) = sum(k=0, n, stirling(n, k, 2)^k) \\ _Felix Fröhlich_, Jun 06 2021 %Y A345040 Cf. A000110, A008277, A047797, A048993, A167008, A345041. %K A345040 nonn %O A345040 0,2 %A A345040 _Ilya Gutkovskiy_, Jun 06 2021