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.
%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