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 A030527 #8 Mar 31 2012 13:19:57 %S A030527 1,15,1,175,30,1,1750,575,45,1,15750,8750,1200,60,1,131250,114625, %T A030527 24375,2050,75,1,1031250,1347500,414750,52000,3125,90,1,7734375, %U A030527 14575000,6208125,1084875,95000,4425,105,1,55859375,147468750,84184375 %N A030527 A convolution triangle of numbers obtained from A036083. %C A030527 a(n,m) := s1p(6; n,m), a member of a sequence of unsigned triangles including s1p(2; n,m)= A007318(n-1,m-1) (Pascal's triangle). Signed version: (-1)^(n-m)*a(n,m) := s1(6; n,m). %H A030527 W. Lang, <a href="http://www.cs.uwaterloo.ca/journals/JIS/index.html">On generalizations of Stirling number triangles</a>, J. Integer Seqs., Vol. 3 (2000), #00.2.4. %F A030527 a(n, m) = 5*(5*m+n-1)*a(n-1, m)/n + m*a(n-1, m-1)/n, n >= m >= 1; a(n, m) := 0, n<m; a(n, 0) := 0; a(1, 1)=1. G.f. for m-th column: (x*(1-10*x+50*x^2-125*x^3+125*x^4)/(1-5*x)^5)^m. %e A030527 {1}; {15,1}; {175,30,1}; {1750,575,45,1}; {15750,8750,1200,60,1}; ... %Y A030527 a(n, 1)= A036083(n-1). Row sums = A046088(n). %K A030527 easy,nonn,tabl %O A030527 1,2 %A A030527 _Wolfdieter Lang_