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.

A186810 Partial sums of A009940.

This page as a plain text file.
%I A186810 #16 Feb 16 2025 08:33:14
%S A186810 1,1,0,-4,-19,-75,-260,-464,5745,118145,1638416,20803836,258490285,
%T A186810 3203144581,39595146396,481418955200,5547932810945,54569481140961,
%U A186810 257079620051200,-8335537038105380,-407961130194651699
%N A186810 Partial sums of A009940.
%C A186810 Partial sums of row sums of triangle of coefficients of Laguerre polynomials L_n(x).
%C A186810 Through a(46) the only number whose absolute value is a prime is a(4) = -19.
%H A186810 G. C. Greubel, <a href="/A186810/b186810.txt">Table of n, a(n) for n = 0..449</a>
%H A186810 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LaguerrePolynomial.html">Laguerre Polynomial</a>
%F A186810 a(n) = Sum_{k=0..n} k!*LaguerreL(k,1). - _G. C. Greubel_, Feb 05 2018
%t A186810 Table[Sum[k!*LaguerreL[k,1], {k,0,n}], {n,0,50}] (* _G. C. Greubel_, Feb 05 2018 *)
%Y A186810 Cf. A009940, A021009.
%K A186810 sign,less
%O A186810 0,4
%A A186810 _Jonathan Vos Post_, Feb 27 2011