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Search: id:A069910
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| 1, 0, 1, 1, 2, 2, 3, 3, 5, 5, 7, 8, 11, 12, 16, 18, 23, 26, 33, 37, 46, 52, 63, 72, 87, 98, 117, 133, 157, 178, 209, 236, 276, 312, 361, 408, 471, 530, 609, 686, 784, 881, 1004, 1126, 1279, 1433, 1621, 1814, 2048, 2286, 2574, 2871, 3223, 3590, 4022, 4472, 5000
(list; graph; listen)
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OFFSET
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0,5
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COMMENT
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Arises from an identity of Slater's.
Number of partitions of 2*n into distinct odd parts. - Vladeta Jovovic (vladeta(AT)eunet.rs), May 08 2003
Euler transform of period 16 sequence [0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,...]. - Michael Somos Apr 11 2004
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REFERENCES
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G. E. Andrews et al., q-Engel series expansions and Slater's identities, Quaestiones Math., 24 (2001), 403-416.
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LINKS
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Eric Weisstein's World of Mathematics, Jackson-Slater Identity
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PROGRAM
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(PARI) a(n)=local(X); if(n<0, 0, n=2*n; X=x+x*O(x^n); polcoeff(eta(-X)/eta(X^2), n)) /* Michael Somos Apr 11 2004 */
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CROSSREFS
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Cf. A069908, A069909, A069911.
A000700(2n)=a(n).
Sequence in context: A025147 A032230 A126793 this_sequence A008484 A026797 A027189
Adjacent sequences: A069907 A069908 A069909 this_sequence A069911 A069912 A069913
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 05 2002
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