A234713 Triangle, read by rows, based on the Fibonacci numbers.
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, 6, 13, 89, 260, 416, 393, 217, 63, 7, 21, 163, 548, 1042, 1218, 890, 392, 92, 8, 34, 294, 1121, 2465, 3435, 3127, 1842, 666, 129, 9, 55, 525, 2236, 5586, 9035, 9845
Offset: 0
Examples
Triangle begins: 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, 6 13, 89, 260, 416, 393, 217, 63, 7 21, 163, 548, 1042, 1218, 890, 392, 92, 8
Crossrefs
Formula
G.f.: (y+1)*x/(1-(2y+1)*x+(y^2-1)*x^2).
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.
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