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Search: id:A091498
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| A091498 |
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The sixth column of triangle A091492, excluding leading zeros. |
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+0
2
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| 1, 2, 3, 5, 8, 11, 17, 23, 31, 41, 54, 68, 88, 109, 135, 165, 202, 241, 291, 344, 407, 477, 559, 646, 751, 862, 990, 1129, 1288, 1456, 1651, 1857, 2089, 2338, 2617, 2911, 3244, 3594, 3982, 4395, 4851, 5330, 5862, 6420, 7031, 7677, 8382, 9120, 9929, 10775
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Excluding leading zeros, columns k=3,4,5, of triangle A091492 list the partitions of n into k parts.
This sequence is related to the partitions of n into at most 6 parts (A001402) since A(x)=(1+x-x^5)*G001402(x), where G001402(x) is the g.f. for A001402.
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FORMULA
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G.f.: (1+x-x^5)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)*(1-x^6))
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PROGRAM
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(PARI) {a(n)=polcoeff( (1+x-x^5)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)*(1-x^6)) +O(x^(n+1)), n, x)}
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CROSSREFS
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Cf. A091492, A091493, A001402.
Sequence in context: A046938 A060677 A131787 this_sequence A000511 A135908 A056891
Adjacent sequences: A091495 A091496 A091497 this_sequence A091499 A091500 A091501
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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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