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 A061688 #25 Jan 17 2025 11:18:13 %S A061688 1,1,65,48844,209175233,3464129078126,173566857025139312, %T A061688 22208366234650578141209,6409515697874502425444186817, %U A061688 3794729706423816704068204814925754,4276126299841623727960390049367617509190,8631647765438316626054238101611711249984175399 %N A061688 Generalized Bell numbers: column 7 of A275043. %H A061688 Alois P. Heinz, <a href="/A061688/b061688.txt">Table of n, a(n) for n = 0..100</a> %H A061688 J.-M. Sixdeniers, K. A. Penson and A. I. Solomon, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL4/SIXDENIERS/bell.html">Extended Bell and Stirling Numbers From Hypergeometric Exponentiation</a>, J. Integer Seqs. Vol. 4 (2001), #01.1.4. %F A061688 Sum_{n>=0} a(n) * x^n / (n!)^7 = exp(Sum_{n>=1} x^n / (n!)^7). - _Ilya Gutkovskiy_, Jul 17 2020 %p A061688 a:= proc(n) option remember; `if`(n=0, 1, %p A061688 add(binomial(n, k)^7*(n-k)*a(k)/n, k=0..n-1)) %p A061688 end: %p A061688 seq(a(n), n=0..12); # _Alois P. Heinz_, Nov 07 2008 %t A061688 a[n_] := a[n] = If[n == 0, 1, Sum[Binomial[n, k]^7*(n-k)*a[k]/n, {k, 0, n-1}]]; Table[a[n], {n, 0, 12}] (* _Jean-François Alcover_, Apr 17 2014, after _Alois P. Heinz_ *) %Y A061688 Column k=7 of A275043. %K A061688 nonn %O A061688 0,3 %A A061688 _N. J. A. Sloane_, Jun 18 2001 %E A061688 More terms from _Alois P. Heinz_, Nov 07 2008