

A096814


Row sums of triangle A096811, in which A096811(n,k) equals the kth term of the convolution of the two prior rows indexed by (nk) and (k2).


1



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;
refs;
listen;
history;
text;
internal format)



OFFSET

0,2


COMMENTS

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


LINKS

Table of n, a(n) for n=0..45.


PROG

(PARI) {A096811(n, k)=if(n<kk<0, 0, if(k<=1k==n, 1, sum(j=1, k1, A096811(nk, j)*A096811(k2, kj1))))} {a(n)=sum(k=0, n, A096811(n, k))}


CROSSREFS

Cf. A096811, A096812, A096813.
Sequence in context: A100853 A174065 A121659 * A039861 A039877 A272691
Adjacent sequences: A096811 A096812 A096813 * A096815 A096816 A096817


KEYWORD

nonn


AUTHOR

Paul D. Hanna, Jul 20 2004


STATUS

approved



