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Search: id:A036295
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| A036295 |
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Numerator of Sum i/2^i, i=1..n. |
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+0
2
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| 0, 1, 1, 11, 13, 57, 15, 247, 251, 1013, 509, 4083, 4089, 16369, 2047, 65519, 65527, 262125, 131067, 1048555, 1048565, 4194281, 1048573, 16777191, 16777203, 67108837, 33554425, 268435427, 268435441, 1073741793, 67108863, 4294967263
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OFFSET
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0,4
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COMMENT
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The sum equals 2-(n+2)/2^n.
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REFERENCES
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A. F. Horadam, Oresme numbers, Fib. Quart., 12 (1974), 267-271.
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FORMULA
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If n+2=2^k*m with m odd, then a(n)=2^(n+1-k)-m.
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MATHEMATICA
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a[n_] := Module[{k, m}, For[k=0; m=n+2, EvenQ[m], k++, m/=2]; 2^(n+1-k)-m]
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CROSSREFS
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Cf. A036296.
Sequence in context: A023268 A154292 A027450 this_sequence A132201 A057189 A072580
Adjacent sequences: A036292 A036293 A036294 this_sequence A036296 A036297 A036298
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KEYWORD
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nonn,easy,frac
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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