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%I #10 May 11 2019 10:47:15
%S 0,1,1,2,4,8,18,40,92,210,490,1178,2834,6908,16996,41874,103632,
%T 260512,654600,1653944,4199426,10727056,27403928,70312316,181295568,
%U 468321714,1212382254,3147806654,8192069326,21373640244,55866022580,146245331310,383916472318,1009104851284,2656963351444,7004641163440,18494746329858,48903314780234,129515618740984,343289075820158,911136373946940
%N Backwards 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 This is the convergent of the rows of triangle A096811 when the rows are read from right to left; includes an initial zero to comply with the definition. The forwards row convergent of A096811 is A096812.
%H Paul D. Hanna, <a href="/A096813/b096813.txt">Table of n, a(n) for n = 0..50</a>
%F a(0)=0, a(1)=1; for n>1, a(n) = Sum_{k=0..n-2} A096811(n-1, k+1)*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, A096811(n-1,k+1)*a(k+1))))}
%Y Cf. A096811, A096813.
%K nonn
%O 0,4
%A _Paul D. Hanna_, Jul 20 2004
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