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 A199400 #10 Jul 21 2014 09:14:14
%S A199400 1,2,2,4,10,6,8,38,54,24,16,130,330,336,120,32,422,1710,3000,2400,720,
%T A199400 64,1330,8106,21840,29400,19440,5040,128,4118,36414,141624,285600,
%U A199400 312480,176400,40320,256,12610,158010,853776,2421720,3900960,3598560,1774080,362880
%N A199400 Triangle T(n,k), read by rows, given by (2,0,3,0,4,0,5,0,6,0,7,0,8,0,9,...) DELTA (2,1,3,2,4,3,5,4,6,5,7,6,8,7,9,...) where DELTA is the operator defined in A084938.
%C A199400 Variant of A162508.
%F A199400 T(n,k)=(k+1)!*A143494(n+2,k+2)
%F A199400 T(n,k)=(k+1)*T(n-1,k-1)+(k+2)*T(n-1,k).
%F A199400 Sum_{k, 0<=k<=n} T(n,k)=A162509(n+1).
%F A199400 T(n,n)=(n+1)!=A000142(n+1)
%F A199400 T(n,0)=2^n=A000079(n).
%e A199400 Triangle begins :
%e A199400 1
%e A199400 2, 2
%e A199400 4, 10, 6
%e A199400 8, 38, 54, 24
%e A199400 16, 130, 330, 336, 120
%e A199400 32, 422, 1710, 3000, 2400, 720
%Y A199400 Cf. A084938, A143494, A162508, A162509,
%K A199400 nonn,tabl
%O A199400 0,2
%A A199400 _Philippe Deléham_, Nov 05 2011