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A025149
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Number of partitions of n into distinct parts >= 4.
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3
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1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 6, 6, 8, 9, 11, 12, 15, 17, 20, 23, 27, 31, 36, 41, 47, 55, 62, 71, 81, 93, 105, 120, 135, 154, 174, 197, 221, 251, 281, 317, 356, 400, 447, 502, 561, 628, 701, 782, 871, 972, 1081, 1202, 1336, 1483, 1645, 1825, 2021, 2237, 2476, 2736
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OFFSET
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0,10
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LINKS
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Table of n, a(n) for n=0..64.
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FORMULA
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a(n)=A026824(n+3). - R. J. Mathar, Jul 31 2008
G.f.: product_{j=4..infinity} (1+x^j). - R. J. Mathar, Jul 31 2008
G.f.: sum(n>=0, x^(n*(n+7)/2) / prod(k=1..n, 1-x^k) ); special case of g.f. for partitions into distinct parts >= L, sum(n>=0, x^(n*(n+2*L-1)/2) / prod(k=1..n, 1-x^k) ). [Joerg Arndt, Mar 24 2011]
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MAPLE
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g:=product(1+x^(j), j=4..54): gser:=series(g, x=0, 55): seq(coeff(gser, x, n), n=1..53); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 09 2007
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CROSSREFS
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Cf. A025147.
Sequence in context: A003106 A185228 A026824 * A026799 A185326 A210716
Adjacent sequences: A025146 A025147 A025148 * A025150 A025151 A025152
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling
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EXTENSIONS
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More terms from N. J. A. Sloane, Sep 28 2008
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STATUS
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approved
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