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 A234713 #6 Aug 08 2015 10:25:59
%S A234713 0,1,1,1,3,2,2,6,7,3,3,13,20,14,4,5,25,51,51,25,5,8,48,118,154,111,41,
%T A234713 6,13,89,260,416,393,217,63,7,21,163,548,1042,1218,890,392,92,8,34,
%U A234713 294,1121,2465,3435,3127,1842,666,129,9,55,525,2236,5586,9035,9845
%N A234713 Triangle, read by rows, based on the Fibonacci numbers.
%C A234713 First column is the Fibonacci sequence.
%C A234713 Sum_{k=0..n} T(n,k)*2^k = -A106732(n).
%F A234713 G.f.: (y+1)*x/(1-(2y+1)*x+(y^2-1)*x^2).
%F A234713 T(n,k)=T(n-1,k)+2*T(n-1,k-1)+T(n-2,k)-T(n-2,k-2), T(0,0)=0, T(1,0)=1, T(1,1)=1, T(n,k)=0 if k<0 or if k>n.
%e A234713 Triangle begins:
%e A234713 0
%e A234713 1, 1
%e A234713 1, 3, 2
%e A234713 2, 6, 7, 3
%e A234713 3, 13, 20, 14, 4
%e A234713 5, 25, 51, 51, 25, 5
%e A234713 8, 48, 118, 154, 111, 41, 6
%e A234713 13, 89, 260, 416, 393, 217, 63, 7
%e A234713 21, 163, 548, 1042, 1218, 890, 392, 92, 8
%Y A234713 Cf. Diagonals: A001477, A004006.
%Y A234713 Cf. Columns: A000045 (Fibonacci), A131913, A261054.
%Y A234713 Cf. A025192 (row sums for n>0), A006054 (diagonal sums)
%K A234713 nonn,easy,tabl
%O A234713 0,5
%A A234713 _Philippe Deléham_, Dec 29 2013