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Search: id:A022498
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| A022498 |
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Conjectured number of irreducible multiple zeta values of depth 10 and weight 2n+28. |
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+0
1
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| 2, 10, 34, 93, 222, 481, 970, 1837, 3312, 5734, 9569, 15492, 24410, 37550, 56531, 83511, 121200, 173169, 243848, 338857, 465113, 631300, 847803, 1127560, 1485938, 1941619, 2516688, 3237780, 4135821, 5247902, 6616867
(list; graph; listen)
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OFFSET
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0,1
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FORMULA
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p({1, 2, 3, 3, 4, 4, 5, 6, 6, 15}) x
(2 + 8x + 22x^2 + 47x^3 + 85x^4 + 138x^5 + 204x^6 + 274x^7 + 341x^8 + 403x^9 + 441x^{10} + 472x^{11}
+ 480x^{12} + 485x^{13} + 479x^{14} + 477x^{15} + 467x^{16} + 454x^{17} + 432x^{18}
+ 394x^{19} + 343x^{20} + 280x^{21} + 209x^{22} + 143x^{23} + 80x^{24} + 41x^{25} + 11x^{26}
+ 2x^{27} - 2x^{28} + 3x^{29} + 4x^{30} + 9x^{31} + 6x^{32} + 5x^{33} + 2x^{34} - x^{37})
where p(\{c_1, c_2, \ldots\}) = \prod_k \frac{1}{1-x^{c_k}}.
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CROSSREFS
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Sequence in context: A043004 A108100 A059924 this_sequence A036799 A119193 A124634
Adjacent sequences: A022495 A022496 A022497 this_sequence A022499 A022500 A022501
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KEYWORD
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nonn
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AUTHOR
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David Broadhurst (D.Broadhurst(AT)open.ac.uk)
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