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A036296
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Denominator of Sum i/2^i, i=1..n.
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3
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1, 2, 1, 8, 8, 32, 8, 128, 128, 512, 256, 2048, 2048, 8192, 1024, 32768, 32768, 131072, 65536, 524288, 524288, 2097152, 524288, 8388608, 8388608, 33554432, 16777216, 134217728, 134217728, 536870912, 33554432, 2147483648, 2147483648, 8589934592, 4294967296
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OFFSET
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0,2
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COMMENTS
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Sum_{i>=0} i/2^i = 2. - Alonso del Arte, Aug 15 2012
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REFERENCES
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C. C. Clawson, The Beauty and Magic of Numbers. New York: Plenum Press (1996): 95
A. F. Horadam, Oresme numbers, Fib. Quart., 12 (1974), 267-271.
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LINKS
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Table of n, a(n) for n=0..34.
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EXAMPLE
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a(4) = 8 because 1/2 + 2/4 + 3/8 + 4/16 = 1/2 + 1/2 + 3/8 + 1/4 = 1 + 5/8 = 13/8.
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MATHEMATICA
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Table[Denominator[Sum[i/2^i, {i, n}]], {n, 40}] (* Alonso del Arte, Aug 08 2012 *)
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CROSSREFS
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Cf. A036295.
Sequence in context: A016446 A086657 A188922 * A078105 A075513 A011019
Adjacent sequences: A036293 A036294 A036295 * A036297 A036298 A036299
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KEYWORD
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nonn,frac,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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