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 A096814 Row sums 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). 2

%I

%S 1,2,3,4,5,7,9,12,15,20,26,34,45,59,77,101,132,172,226,295,387,506,

%T 665,872,1146,1506,1980,2601,3417,4489,5891,7730,10140,13292,17418,

%U 22823,29892,39150,51267,67136,87927,115174,150894,197757,259225,339925,445858,584974,767667,1007652,1322851,1736885,2280695,2994869,3932677,5163918,6780142,8901278,11684630

%N Row sums 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 Triangle A096811 has two row convergents; one forwards (A096812) and one backwards (A096813).

%H Paul D. Hanna, <a href="/A096814/b096814.txt">Table of n, a(n) for n = 0..1300</a>

%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)=sum(k=0,n, A096811(n,k))}

%Y Cf. A096811, A096812, A096813.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Jul 20 2004

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Last modified December 1 11:35 EST 2020. Contains 338833 sequences. (Running on oeis4.)