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Search: id:A161064
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| A161064 |
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Number of partitions of n into powers of two minus one where every part appears at least 2 times |
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+0
1
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| 0, 1, 1, 1, 1, 2, 1, 2, 3, 2, 3, 4, 3, 5, 5, 5, 6, 7, 6, 8, 9, 8, 11, 11, 11, 13, 14, 14, 16, 19, 17, 21, 22, 22, 25, 27, 27, 30, 33, 32, 36, 39, 38, 44, 46, 46, 51, 54, 54, 59, 64, 62, 70, 73, 73, 80, 84, 85, 92, 98, 97, 107, 111, 112, 122, 127, 128, 139, 144, 146, 157, 164, 165, 179
(list; graph; listen)
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OFFSET
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1,6
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LINKS
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Ron Hardin, Table of n, a(n) for n=1..1000
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FORMULA
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Contribution from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 28 2009: (Start)
G.f. = Product[1+x^{2*(2^j-1)}/(1-x^{2^j-1}), j=1..infinity).
(End)
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EXAMPLE
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a(16)=5 because we have 7711, 33331111, 3331^7, 331^(10), and 1^(16). [From Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 28 2009]
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MAPLE
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g := product(1+x^(2*(2^j-1))/(1-x^(2^j-1)), j = 1 .. 20): gser := series(g, x = 0, 80): seq(coeff(gser, x, n), n = 1 .. 74); [From Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 28 2009]
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CROSSREFS
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Sequence in context: A116939 A008611 A025798 this_sequence A070086 A162618 A036576
Adjacent sequences: A161061 A161062 A161063 this_sequence A161065 A161066 A161067
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KEYWORD
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nonn
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AUTHOR
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Ron Hardin (rhhardin(AT)att.net) Jun 02 2009
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