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Search: id:A091500
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| A091500 |
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Convergent of rows in triangle A091499, in which A091499(n,k) equals the k-th term of the convolution of the two prior rows indexed by (n-k) and (k-1). |
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3
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| 1, 1, 2, 4, 9, 20, 47, 113, 275, 676, 1685, 4271, 10843, 27801, 71611, 185795, 484551, 1269717, 3335594, 8806077, 23311686, 61929281, 165062249, 440951151, 1181040770, 3170467624, 8528882846, 22986648032, 62085549929, 167970076540
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OFFSET
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0,3
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COMMENT
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a(n) equals the n-th term of the convolution of row (n-1) of A091499 with the first n terms of this sequence. Convergent term a(n) first occurs in column n of triangle A091499 in row n*(n+1)/2.
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FORMULA
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a(n) = A091499(n*(n+1)/2, n). a(n) = Sum A091499(n-1, k)*a(n-1-k) {k=0..n-1} for n>0, with a(0)=1.
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EXAMPLE
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a(6) = 47 = (1)*20+(1)*9+(2)*4+(3)*2+(3)*1+(1)*1 since a(6) equals the 6-th term of the convolution of row 6 of A091499, {1,1,2,3,3,1}, with the first 6 terms of this sequence, {1,1,2,4,9,20}.
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CROSSREFS
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Cf. A091499, A091501.
Sequence in context: A036721 A014267 A089405 this_sequence A052329 A036624 A034823
Adjacent sequences: A091497 A091498 A091499 this_sequence A091501 A091502 A091503
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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), Jan 16 2004
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