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A105200
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Number of compositions of n such that the least part occurs with odd multiplicity.
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2
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1, 1, 4, 3, 13, 16, 41, 64, 154, 261, 560, 1049, 2176, 4169, 8474, 16614, 33477, 66178, 132776, 263969, 528519, 1053483, 2107772, 4207680, 8415341, 16812773, 33622527, 67203682, 134391649, 268686218, 537318189, 1074403625, 2148636672
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OFFSET
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1,3
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LINKS
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Table of n, a(n) for n=1..33.
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FORMULA
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G.f.: Sum(Sum(binomial(k, 2*l-1)*x^(2*k-2*l+1)/((1-x)^(k-2*l+1)*(1-x^k)), l=1..floor((k+1)/2)), k=1..infinity).
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MATHEMATICA
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Rest[ CoefficientList[ Series[ Sum[ Binomial[k, 2l - 1] x^(2k - 2l + 1)/((1 - x)^(k - 2*l + 1)(1 - x^k)), {k, 34}, {l, Floor[(k + 1)/2]}], {x, 0, 34}], x]] (from Robert G. Wilson v, Apr 12 2005)
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CROSSREFS
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Cf. A096375.
Sequence in context: A120340 A082018 A056477 * A088933 A019136 A140884
Adjacent sequences: A105197 A105198 A105199 * A105201 A105202 A105203
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KEYWORD
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easy,nonn,changed
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AUTHOR
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Vladeta Jovovic, Apr 12 2005
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EXTENSIONS
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More terms from Robert G. Wilson v, Apr 12 2005
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STATUS
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approved
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