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.

A294373 Product of first n Bell numbers.

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%I A294373 #14 Mar 04 2021 02:14:45
%S A294373 1,1,2,10,150,7800,1583400,1388641800,5748977052000,
%T A294373 121573617718644000,14099500314919737900000,
%U A294373 9567497928695086546803000000,40313580569855830588349480391000000,1114446238307803607782300144651734867000000
%N A294373 Product of first n Bell numbers.
%H A294373 Robert Israel, <a href="/A294373/b294373.txt">Table of n, a(n) for n = 0..49</a>
%F A294373 log(a(n)) ~ n^2 * LambertW(n)/2 * (1 - 3/(2*LambertW(n)) + 3/(2*LambertW(n)^2) + 1/(4*LambertW(n)^3)). - _Vaclav Kotesovec_, Feb 26 2021
%p A294373 B:= map(combinat:-bell, [$0..19]):
%p A294373 map(i -> convert(B[1..i],`*`),[$1..20]); # _Robert Israel_, Oct 29 2017
%t A294373 Table[Product[BellB[k], {k, 0, n}], {n, 0, 15}]
%Y A294373 Cf. A000110, A003266, A070825, A003046, A058807, A058808, A342166, A342170.
%K A294373 nonn
%O A294373 0,3
%A A294373 _Vaclav Kotesovec_, Oct 29 2017