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Search: id:A096814
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| A096814 |
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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). |
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+0
2
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| 1, 2, 3, 4, 5, 7, 9, 12, 15, 20, 26, 34, 45, 59, 77, 101, 132, 172, 226, 295, 387, 506, 665, 872, 1146, 1506, 1980, 2601, 3417, 4489, 5891, 7730, 10140, 13292, 17418, 22823, 29892, 39150, 51267, 67136, 87927, 115174, 150894, 197757, 259225, 339925
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Triangle A096811 has two row convergents; one forwards (A096812) and one backwards (A096813).
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PROGRAM
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(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))}
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CROSSREFS
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Cf. A096811, A096812, A096813.
Sequence in context: A003413 A100853 A121659 this_sequence A039861 A039877 A164001
Adjacent sequences: A096811 A096812 A096813 this_sequence A096815 A096816 A096817
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jul 20 2004
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