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Search: id:A022497
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A022497 Conjectured number of irreducible multiple zeta values of depth 9 and weight 2n+25. +0
1
2, 7, 24, 59, 135, 276, 531, 955, 1656, 2740, 4401, 6855, 10421, 15466, 22536, 32207, 45320, 62814, 85916, 116023, 154977, 204759, 267964, 347472, 446809, 569937, 721743, 907503, 1133712, 1407519, 1737335 (list; graph; listen)
OFFSET

0,1

FORMULA

p({1, 1, 2, 2, 2, 3, 3, 6, 9}) x (2+3x+6x^2+5x^3+5x^4+8x^5+7x^6+3x^7+6x^8+5x^9+3x^{12}-3x^{14}-2x^{15} +2x^{16}+2x^{17}-x^{18}) where p(\{c_1, c_2, \ldots\}) = \prod_k \frac{1}{1-x^{c_k}}.

CROSSREFS

Sequence in context: A139522 A112089 A075062 this_sequence A054128 A082047 A129020

Adjacent sequences: A022494 A022495 A022496 this_sequence A022498 A022499 A022500

KEYWORD

nonn

AUTHOR

David Broadhurst (D.Broadhurst(AT)open.ac.uk)

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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