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.

A130906 Expansion of e.g.f. exp(x^3/3!)/(1-x).

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%I A130906 #10 Feb 27 2024 09:47:47
%S A130906 1,1,2,7,28,140,850,5950,47600,428680,4286800,47154800,565873000,
%T A130906 7356349000,102988886000,1544834691400,24717355062400,420195036060800,
%U A130906 7563510839684800,143706705954011200,2874134119080224000,60356816536896880000,1327849963811731360000
%N A130906 Expansion of e.g.f. exp(x^3/3!)/(1-x).
%F A130906 a(n) ~ n! * exp(1/6). - _Vaclav Kotesovec_, Aug 04 2014
%F A130906 a(n) = n! * Sum_{k=0..floor(n/3)} 1/(6^k * k!). - _Seiichi Manyama_, Feb 27 2024
%t A130906 With[{nn=20},CoefficientList[Series[Exp[x^3/6]/(1-x),{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, May 10 2018 *)
%Y A130906 Cf. A000522, A130905.
%K A130906 nonn
%O A130906 0,3
%A A130906 _Karol A. Penson_, Jun 08 2007
%E A130906 More terms from _Harvey P. Dale_, May 10 2018