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.

A334571 E.g.f.: exp(-(x + x^2/2 + x^3/3 + x^4/4 + x^5/5)).

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%I A334571 #19 May 03 2021 02:13:33
%S A334571 1,-1,0,0,0,0,120,-120,-720,-5040,-40320,-362880,3024000,21859200,
%T A334571 151113600,753667200,-3978374400,-249882796800,-1752623308800,
%U A334571 -7319841177600,79100731699200,2905096654540800,48387220210944000,226481995918080000,-2094278695939584000,-85503113536135680000
%N A334571 E.g.f.: exp(-(x + x^2/2 + x^3/3 + x^4/4 + x^5/5)).
%H A334571 Seiichi Manyama, <a href="/A334571/b334571.txt">Table of n, a(n) for n = 0..500</a>
%F A334571 a(0) = 1 and a(n) = - (n-1)! * Sum_{k=1..min(5,n)} a(n-k)/(n-k)!.
%t A334571 m = 25; Range[0, m]! * CoefficientList[Series[Exp[-(x + x^2/2 + x^3/3 + x^4/4 + x^5/5)], {x, 0, m}], x] (* _Amiram Eldar_, May 03 2021 *)
%o A334571 (PARI) N=40; x='x+O('x^N); Vec(serlaplace(exp(-x-x^2/2-x^3/3-x^4/4-x^5/5)))
%Y A334571 Column 5 of A334568.
%Y A334571 Cf. A070946, A334565.
%K A334571 sign
%O A334571 0,7
%A A334571 _Seiichi Manyama_, May 06 2020