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 A343928 #16 May 05 2021 01:54:17 %S A343928 1,2,7,244,337061,24923091206,139331988275478727, %T A343928 82607113404338664216300296,6984967577834038055008791270166057993, %U A343928 109110690950275218023122492287310115968068596613130,395940866518366059877297056617763923418318903997411043997258716171 %N A343928 a(n) = Sum_{k=0..n} (k!)^n * binomial(n,k). %H A343928 Seiichi Manyama, <a href="/A343928/b343928.txt">Table of n, a(n) for n = 0..30</a> %F A343928 a(n) = [x^n] Sum_{k>=0} (k!)^n * x^k/(1 - x)^(k+1). %F A343928 a(n) = n! * [x^n] exp(x) * Sum_{k>=0} (k!)^(n-1) * x^k. %t A343928 a[n_] := Sum[(k!)^n * Binomial[n, k], {k, 0, n} ]; Array[a, 11, 0] (* _Amiram Eldar_, May 04 2021 *) %o A343928 (PARI) a(n) = sum(k=0, n, k!^n*binomial(n, k)); %Y A343928 Cf. A000522, A046662, A072034, A336247, A339311, A343898, A343899, A343929. %K A343928 nonn %O A343928 0,2 %A A343928 _Seiichi Manyama_, May 04 2021