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 A062146 #24 Sep 08 2022 08:45:03 %S A062146 1,3,11,47,225,1159,6067,28419,58433,-1390645,-35514309,-636045257, %T A062146 -10431927839,-167173905393,-2678202265885,-43236880758901, %U A062146 -703702453254783,-11485574113211501,-185707408082199317,-2901041900411825985 %N A062146 Row sums of signed triangle A062137 (generalized Laguerre, a=3). %H A062146 Harry J. Smith, <a href="/A062146/b062146.txt">Table of n, a(n) for n = 0..100</a> %H A062146 <a href="/index/La#Laguerre">Index entries for sequences related to Laguerre polynomials</a> %F A062146 E.g.f.: exp(-x/(1-x))/(1-x)^4. %F A062146 a(n) = sum(((-1)^m)*n!*binomial(n+3, n-m)/m!, m=0..n). %F A062146 a(n) = (2*n+1)*a(n-1) - (n-1)*(n+2)*a(n-2). - _Vaclav Kotesovec_, Aug 01 2013 %t A062146 Table[n!*LaguerreL[n, 3, 1],{n,0,20}] (* _Vaclav Kotesovec_, Aug 01 2013 *) %o A062146 (PARI) { f=1; for (n=0, 100, if (n>1, f*=n); a=f*binomial(n+3, n); g=1; a+=sum(m=1, n, ((-1)^m)*f*binomial(n+3, n-m)/g*=m); write("b062146.txt", n, " ", a) ) } \\ _Harry J. Smith_, Aug 02 2009 %o A062146 (PARI) my(x='x+O('x^30)); Vec(exp(-x/(1-x))/(1-x)^4) \\ _G. C. Greubel_, May 11 2018 %o A062146 (PARI) a(n) = vecsum(Vec(n!*pollaguerre(n, 3))); \\ _Michel Marcus_, Feb 06 2021 %o A062146 (Magma) m:=25; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Exp(-x/(1-x))/(1-x)^4)); [Factorial(n-1)*b[n]: n in [1..m]]; // _G. C. Greubel_, May 11 2018 %Y A062146 Cf. A062137. %K A062146 sign,easy %O A062146 0,2 %A A062146 _Wolfdieter Lang_, Jun 19 2001