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Search: id:A097940
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| A097940 |
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Sum of smallest parts (counted with multiplicity) of all compositions of n. |
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+0
2
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| 1, 4, 8, 20, 37, 86, 173, 372, 788, 1680, 3550, 7554, 15994, 33820, 71374, 150376, 316151, 663474, 1389760, 2906116, 6066899, 12645608, 26318870, 54700044, 113536171, 235363832, 487342781, 1007969620, 2082597193, 4298660754
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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G.f.: (1-x)^2*Sum(k*x^k/(1-x-x^k)^2, k=1..infinity).
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MATHEMATICA
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Drop[ CoefficientList[ Series[(1 - x)^2*Sum[k*x^k/(1 - x - x^k)^2, {k, 50}], {x, 0, 30}], x], 1] (from Robert G. Wilson v Sep 08 2004)
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CROSSREFS
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Cf. A046746, A092309.
Sequence in context: A053303 A097164 A133628 this_sequence A032280 A156303 A008136
Adjacent sequences: A097937 A097938 A097939 this_sequence A097941 A097942 A097943
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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), Sep 05 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 08 2004
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