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 A051546 #11 Jul 07 2015 21:27:10 %S A051546 0,0,1,24,431,7155,117454,1961470,33775244,603682596,11235811536, %T A051546 218055250512,4413843664416,93156324734304,2048591287486080, %U A051546 46898664421553280,1116592842912341760,27618683992928743680 %N A051546 Third unsigned column of triangle A051339. %C A051546 From _Johannes W. Meijer_, Oct 20 2009: (Start) %C A051546 The asymptotic expansion of the higher order exponential integral E(x,m=3,n=7) ~ exp(-x)/x^3*(1 - 24/x + 431/x^2 - 7155/x^3 + 117454/x^4 + ...) leads to the sequence given above. See A163931 and A163932 for more information. %C A051546 (End) %D A051546 Mitrinovic, D. S. and Mitrinovic, R. S. see reference given for triangle A051339. %F A051546 a(n) = A051339(n, 2)*(-1)^n; e.g.f.: (log(1-x))^2/(2*(1-x)^7). %F A051546 If we define f(n,i,a)=sum(binomial(n,k)*stirling1(n-k,i)*product(-a-j,j=0..k-1),k=0..n-i), then a(n) = |f(n,2,7)|, for n>=1. - _Milan Janjic_, Dec 21 2008 %Y A051546 Cf. A001730 (m=0), A051545 (m=1) unsigned columns. %K A051546 easy,nonn %O A051546 0,4 %A A051546 _Wolfdieter Lang_