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A022497
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Conjectured number of irreducible multiple zeta values of depth 9 and weight 2n+25.
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0
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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; refs; listen; history; internal format)
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OFFSET
| 0,1
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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}}.
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CROSSREFS
| Sequence in context: A171130 A112089 A075062 * A054128 A082047 A129020
Adjacent sequences: A022494 A022495 A022496 * A022498 A022499 A022500
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KEYWORD
| nonn
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AUTHOR
| David Broadhurst (D.Broadhurst(AT)open.ac.uk)
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