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Search: id:A015744
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| A015744 |
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Number of partitions of n into distinct parts, none being 2. |
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+0
9
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| 1, 1, 0, 1, 2, 2, 2, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 22, 27, 32, 37, 44, 52, 60, 70, 82, 95, 110, 127, 146, 169, 194, 221, 254, 291, 331, 377, 429, 487, 553, 626, 707, 800, 903, 1016, 1145, 1288, 1445, 1622, 1819, 2036, 2278, 2546, 2842, 3172, 3536, 3936, 4381
(list; graph; listen)
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OFFSET
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0,5
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FORMULA
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G.f.=(1+x)*product(1+x^j, j=3..infinity). - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 09 2006
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EXAMPLE
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a(8)=4 because we have [8],[7,1],[5,3] and [4,3,1].
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MAPLE
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g:=(1+x)*product(1+x^j, j=3..80): gser:=series(g, x=0, 70): seq(coeff(gser, x, n), n=0..57); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 09 2006
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MATHEMATICA
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CoefficientList[Series[Product[1+q^n, {n, 1, 60}]/(1+q^2), {q, 0, 60}], q]
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CROSSREFS
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Cf. A025147 A015745 A015746 A015750 A015753 A015754 A015755.
Sequence in context: A104661 A029049 A094983 this_sequence A118301 A018121 A111212
Adjacent sequences: A015741 A015742 A015743 this_sequence A015745 A015746 A015747
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
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Corrected and extended by Dean Hickerson (dean.hickerson(AT)yahoo.com), Oct 10, 2001
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