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.

A334565 E.g.f.: exp(-(x + x^2 + x^3 + x^4 + x^5)).

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%I A334565 #18 May 03 2021 02:13:40
%S A334565 1,-1,-1,-1,1,19,871,1091,-12319,-185401,-1871729,-16185401,124125409,
%T A334565 2716194779,30386265911,192015557579,-1519087028159,-90118169425649,
%U A334565 -1286566655151329,-8992926875821681,96361313388009281,5078872062174772259,107995117552995689479,996704518577739393619
%N A334565 E.g.f.: exp(-(x + x^2 + x^3 + x^4 + x^5)).
%H A334565 Seiichi Manyama, <a href="/A334565/b334565.txt">Table of n, a(n) for n = 0..500</a>
%F A334565 a(0) = 1 and a(n) = - (n-1)! * Sum_{k=1..min(5,n)} k*a(n-k)/(n-k)!.
%t A334565 m = 25; Range[0, m]! * CoefficientList[Series[Exp[-(x + x^2 + x^3 + x^4 + x^5)], {x, 0, m}], x] (* _Amiram Eldar_, May 03 2021 *)
%o A334565 (PARI) N=40; x='x+O('x^N); Vec(serlaplace(exp(-x-x^2-x^3-x^4-x^5)))
%Y A334565 Column 5 of A334561.
%Y A334565 Cf. A193931, A334571.
%K A334565 sign
%O A334565 0,6
%A A334565 _Seiichi Manyama_, May 06 2020