cp's OEIS Frontend

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.

A061695 Generalized Bell numbers.

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%I A061695 #24 Jan 17 2025 12:00:19
%S A061695 1,27,864,36000,1944000,133358400,11379916800,1185137049600,
%T A061695 148142131200000,21908575180800000,3785801791242240000,
%U A061695 756127866850836480000,172901238886557941760000,44887821634010234880000000,13132894100921851576320000000,4301460581188603786297344000000
%N A061695 Generalized Bell numbers.
%H A061695 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 A061695 a(n) = (n+1)!^2*(n+1)n/8 = A162993(n)*A000217(n). - _Oleksandr Kulkov_, Oct 10 2022
%F A061695 D-finite with recurrence (-n+1)*a(n) +(n+1)^3*a(n-1)=0. - _R. J. Mathar_, Jan 17 2025
%t A061695 Table[((n+1)!)^2 (n+1) n/8,{n,20}] (* _Harvey P. Dale_, Jul 25 2024 *)
%Y A061695 First subdiagonal of A061692.
%K A061695 nonn
%O A061695 1,2
%A A061695 _N. J. A. Sloane_, Jun 19 2001
%E A061695 a(8)-a(16) from _Alois P. Heinz_, Sep 10 2019