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Search: id:A103421
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| A103421 |
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Number of compositions of n in which the greatest part is odd. |
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+0
3
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| 1, 1, 2, 3, 7, 14, 30, 62, 129, 263, 534, 1076, 2160, 4318, 8612, 17145, 34097, 67764, 134638, 267506, 531606, 1056812, 2101854, 4182462, 8327263, 16588973, 33066080, 65945522, 131588128, 262702054, 524699094, 1048433468, 2095744336
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OFFSET
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1,3
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FORMULA
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G.f.: Sum((1-x)^2*x^(2*n-1)/((1-2*x+x^(2*n-1))*(1-2*x+x^(2*n))), n=1..infinity).
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MATHEMATICA
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Rest[ CoefficientList[ Series[ Expand[ Sum[(1 - x)^2*x^(2n - 1)/((1 - 2x + x^(2n - 1))*(1 - 2x + x^(2n))), {n, 35}]], {x, 0, 35}], x]] (from Robert G. Wilson v Feb 05 2005)
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CROSSREFS
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Cf. A103419, A103420, A103422, A027187, A027193, A026804, A026805.
Sequence in context: A034075 A019595 A112884 this_sequence A151530 A000642 A035083
Adjacent sequences: A103418 A103419 A103420 this_sequence A103422 A103423 A103424
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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), Feb 04 2005
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 05 2005
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