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Search: id:A022629
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| A022629 |
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Expansion of Product (1+m*q^m); m=1..inf. |
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+0
6
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| 1, 1, 2, 5, 7, 15, 25, 43, 64, 120, 186, 288, 463, 695, 1105, 1728, 2525, 3741, 5775, 8244, 12447, 18302, 26424, 37827, 54729, 78330, 111184, 159538, 225624, 315415, 444708, 618666, 858165, 1199701, 1646076
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OFFSET
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0,3
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COMMENT
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Sum of products of terms in all partitions of n into distinct parts. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Jan 19 2002
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EXAMPLE
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The partitions of 6 into distinct parts are 6, 1+5, 2+4, 1+2+3, the corresponding products are 6,5,8,6, and their sum is a(6) = 25.
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CROSSREFS
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Cf. A006906, A000009.
Sequence in context: A133511 A076720 A111328 this_sequence A032216 A032141 A032045
Adjacent sequences: A022626 A022627 A022628 this_sequence A022630 A022631 A022632
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KEYWORD
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nonn
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AUTHOR
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njas
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