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A007729
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6th binary partition function.
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3
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1, 2, 4, 5, 8, 10, 13, 14, 18, 21, 26, 28, 33, 36, 40, 41, 46, 50, 57, 60, 68, 73, 80, 82, 89, 94, 102, 105, 112, 116, 121, 122, 128, 133, 142, 146, 157, 164, 174, 177, 188, 196, 209, 214, 226, 233, 242, 244, 253, 260, 272, 277, 290, 298, 309, 312, 322, 329, 340, 344
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Equals partial sums of A002487 nonzero terms. [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 03 2009]
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REFERENCES
| B. Reznick, Some binary partition functions, in "Analytic number theory" (Conf. in honor P. T. Bateman, Allerton Park, IL, 1989), 451-477, Progr. Math., 85, Birkhaeuser Boston, Boston, MA, 1990.
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FORMULA
| Contribution from Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 26 2010: (Start)
Let r(x) = (1 + 2x + 2x^2 + 1). Then (1 + 2x + 4x^2 + 5x^3 + ...) =
r(x) * r(x^2) * r(x^4) * r(x^8) * ... (End)
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CROSSREFS
| A column of A072170.
A002487 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 03 2009]
Sequence in context: A179509 A157007 A173509 * A174868 A186349 A144876
Adjacent sequences: A007726 A007727 A007728 * A007730 A007731 A007732
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), May 06 2004
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