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 A334562 #23 Jul 30 2022 04:37:10 %S A334562 1,-1,-1,-1,25,19,-209,-2269,2801,68615,371071,-2499641,-28306871, %T A334562 -58645861,1964456495,15133179179,-37119981599,-1861550428529, %U A334562 -9225044407169,110317002942095,2150185424201081,3953685082287779,-233260896605772881,-2920858244957587661,7649165533910291665 %N A334562 E.g.f.: exp(-(x + x^2 + x^3)). %H A334562 Seiichi Manyama, <a href="/A334562/b334562.txt">Table of n, a(n) for n = 0..500</a> %F A334562 a(0) = 1 and a(n) = - (n-1)! * Sum_{k=1..min(3,n)} k*a(n-k)/(n-k)!. %F A334562 D-finite with recurrence a(n) + a(n-1) +2*(n-1)*a(n-2) +3*(n-1)*(n-2)*a(n-3)=0. - _R. J. Mathar_, May 07 2020 %t A334562 With[{nn=30},CoefficientList[Series[Exp[-(x+x^2+x^3)],{x,0,nn}],x] Range[ 0,nn]!] (* _Harvey P. Dale_, Nov 26 2020 *) %o A334562 (PARI) N=40; x='x+O('x^N); Vec(serlaplace(exp(-x-x^2-x^3))) %Y A334562 Column 3 of A334561. %Y A334562 Cf. A118589, A334569. %K A334562 sign %O A334562 0,5 %A A334562 _Seiichi Manyama_, May 06 2020