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A054601
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a(n) = Sum_{d|n, d odd} d*2^(n/d - 1), a(0)=0.
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4
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0, 1, 2, 7, 8, 21, 38, 71, 128, 277, 522, 1035, 2072, 4109, 8206, 16467, 32768, 65553, 131186, 262163, 524328, 1048817, 2097174, 4194327, 8388992, 16777321, 33554458, 67109695, 134217784, 268435485, 536872638, 1073741855, 2147483648
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OFFSET
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0,3
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LINKS
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FORMULA
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G.f.: Sum_{k>0} (1-(-1)^k)/2*k*x^k/(1-2*x^k). - Vladeta Jovovic, Oct 17 2003
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PROG
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(PARI) a(n) = if (n, sumdiv(n, d, if (d%2, d*2^(n/d - 1))), 0); \\ Michel Marcus, Mar 10 2021
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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