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Search: id:A103738
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| A103738 |
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n! * (sum of reciprocals of parts in all partitions of n into distinct parts). |
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+0
1
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| 1, 1, 11, 38, 274, 2844, 21888, 231888, 2580912, 37879200, 459884160, 7372650240, 112624905600, 2002334100480, 37047155846400, 721997863372800, 14458523340441600, 320885263596441600, 7222523219238297600
(list; graph; listen)
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OFFSET
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1,3
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FORMULA
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E.g.f.: A(x)*B(x), where A(x) = Sum_{k>0} x^k/(k*(1+x^k)) and B(x) = Product_{k>0} 1+x^k.
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MAPLE
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gf:=sum(x^k/k/(1+x^k), k=1..50)*product((1+x^k), k=1..50): s:=series(gf, x, 50): for n from 1 to 30 do printf(`%d, `, coeff(s, x, n)*n!) od: (Sellers)
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CROSSREFS
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Cf. A057623.
Sequence in context: A007585 A024202 A133258 this_sequence A045801 A162261 A004188
Adjacent sequences: A103735 A103736 A103737 this_sequence A103739 A103740 A103741
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KEYWORD
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easy,nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 27 2005
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Apr 10 2005
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