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 A182436 #6 Feb 22 2013 14:39:46
%S A182436 1,2,1,2,5,2,4,8,11,4,4,20,25,24,8,8,28,70,69,52,16,8,60,126,213,178,
%T A182436 112,32,16,80,288,460,599,440,240,64,16,160,472,1128,1489,1600,1056,
%U A182436 512,128,32,208,976,2152,3914,4457,4120,2480,1088,256
%N A182436 Triangle T(n,k), read by rows, given by (2, -1, -1, 0, 0, 0, 0, 0, 0, 0, ...) DELTA (1, 1, 0, 0, 0, 0, 0, 0, 0, 0, ...) where DELTA is the operator defined in A084938.
%C A182436 Row sums are the powers of 3.
%F A182436 G.f.: (1+2*x-y*x)/(1-2*y*x-(2+y)*x^2).
%F A182436 T(n,k) = 2*T(n-1,k-1) + 2*T(n-2,k) + T(n-2,k-1), T(0,0) = T(1,1) = 1, T(1,0) = T(2,0) = T(2,2) = 2, T(2,1) = 5 and T(n,k) = 0 if k<0 or if k>n.
%F A182436 Sum_{k, 0<=k<=n} T(n,k)*x^k = A000007(n), A123335(n-1), A016116(n+1), A000244(n), A057087(n), A091928(n) for x = -2, -1, 0, 1, 2, 3 respectively.
%e A182436 Triangle begins :
%e A182436 1
%e A182436 2, 1
%e A182436 2, 5, 2
%e A182436 4, 8, 11, 4
%e A182436 4, 20, 25, 24, 8
%e A182436 8, 28, 70, 69, 52, 16
%e A182436 8, 60, 126, 213, 178, 112, 32
%e A182436 16, 80, 288, 460, 599, 440, 240, 64
%e A182436 16, 160, 472, 1128, 1489, 1600, 1056, 512, 128
%e A182436 32, 208, 976, 2152, 3914, 4457, 4120, 2480, 1088, 256
%Y A182436 Cf. A016116, A011782, A111297, A000244
%K A182436 easy,nonn,tabl
%O A182436 0,2
%A A182436 _Philippe Deléham_, Apr 28 2012