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%I #10 May 11 2019 10:46:16
%S 1,1,1,2,4,8,16,34,72,156,336,746,1652,3696,8330,18816,42904,98166,
%T 225148,518386,1199966,2778270,6472492,15097226,35311946,82744656,
%U 194406728,457526278,1078889548,2549790238,6034719500,14305107700,33965903292,80747360636,192219095518,458252713872,1093494859572,2613290156486,6251109118574,14970041423150
%N Forwards row convergent of triangle A096811, in which A096811(n,k) equals the k-th term of the convolution of the two prior rows indexed by (n-k) and (k-2).
%C Backwards row convergent of A096811 is A096813.
%H Paul D. Hanna, <a href="/A096812/b096812.txt">Table of n, a(n) for n = 0..50</a>
%F a(0)=a(1)=1; for n>1, a(n) = Sum_{k=0..n-2} A096811(n-2, n-k-2)*a(k+1).
%o (PARI) {A096811(n,k)=if(n<k || k<0,0,if(k<=1 || k==n,1, sum(j=1,k-1, A096811(n-k,j)*A096811(k-2,k-j-1))))} \ {a(n)=if(n<0,0,if(n<=1,1,sum(k=0,n-2,T(n-2,n-k-2)*a(k+1))))}
%Y Cf. A096811, A096813.
%K nonn
%O 0,4
%A _Paul D. Hanna_, Jul 20 2004
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