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 A095677 #7 Feb 22 2013 14:39:04
%S A095677 1,1,2,6,8,4,54,72,36,8,680,896,480,128,16,11000,14400,8000,2400,400,
%T A095677 32,217392,283392,161280,51840,10080,1152,64,5076400,6598144,3819648,
%U A095677 1285760,274400,37632,3136,128,136761984,177373184,103993344
%N A095677 Triangle T(n,k), 0<=k<=n, read by rows, defined by Sum_{k = 0..n} T(n,k)*x^k = Sum_{k = 0..n} binomial(n,k)*(x+k)^n.
%F A095677 T(n, k) = binomial(n, k)*Sum_{j = 0..n} = binomial(n, j)*j^(n-k).
%F A095677 T(n, n) = 2^n, see A000079.
%F A095677 T(n+1, n) = (n+1)^2*2^n, see A014477.
%F A095677 T(n, 0) = n*Sum_{k = 0..n-1} T(n-1, k).
%e A095677 1; 1, 2; 6, 8, 4; 54, 72, 36, 8; 680, 896, 480, 128, 16; ...
%K A095677 nonn,tabl
%O A095677 0,3
%A A095677 _Philippe Deléham_ Jul 04 2004