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Search: id:A087135
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| 1, 2, 2, 4, 4, 6, 8, 10, 12, 16, 20, 24, 30, 36, 44, 54, 64, 76, 92, 108, 128, 152, 178, 208, 244, 284, 330, 384, 444, 512, 592, 680, 780, 896, 1024, 1170, 1336, 1520, 1728, 1964, 2226, 2520, 2852, 3220, 3632, 4096, 4608, 5180, 5820
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OFFSET
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0,2
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COMMENT
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For n > 0, number of partitions of n into distinct nonnegative integers; for all n, number of nonempty partitions of n into distinct nonnegative integers. - Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Dec 28 2006
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FORMULA
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a(n) = 2*A000009(n) for n>0.
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EXAMPLE
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n=6: numbers m such that A073642(m)=6: {14,15,20,21,34,35,64,65}, therefore a(6)=8.
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MAPLE
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ZL:=product(1+x^(j-1), j=1..59): gser:=series(ZL, x=0, 55): seq(coeff(gser, x, n), n=1..48); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 09 2007
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CROSSREFS
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Cf. A087136.
Sequence in context: A089076 A123067 A057601 this_sequence A094858 A029940 A045674
Adjacent sequences: A087132 A087133 A087134 this_sequence A087136 A087137 A087138
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Aug 17 2003
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