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A116416
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If n = sum{m>=1} 2^(m-1) * b(n,m), where each b(n,m) is 0 or 1 and the sum is a finite sum, then a(n) = numerator of sum{m>=1} b(n,m)/m.
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1
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0, 1, 1, 3, 1, 4, 5, 11, 1, 5, 3, 7, 7, 19, 13, 25, 1, 6, 7, 17, 8, 23, 31, 61, 9, 29, 19, 39, 47, 107, 77, 137, 1, 7, 2, 5, 1, 3, 1, 2, 5, 17, 11, 23, 3, 7, 5, 9, 11, 41, 13, 28, 7, 17, 6, 11, 37, 97, 67, 127, 19, 39, 29, 49, 1, 8, 9, 23, 10, 31, 41, 83, 11, 39, 25, 53, 61, 145, 103, 187
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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EXAMPLE
| 13 in binary is 1101. So a(13) is the numerator of 1/4 +1/3 +1 = 19/12, since the binary digits at positions (from right to left) 1, 3 and 4 are each 1 and the other digits are 0.
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CROSSREFS
| Cf. A116417, A007088.
Sequence in context: A105177 A050057 A104449 * A051203 A194540 A193043
Adjacent sequences: A116413 A116414 A116415 * A116417 A116418 A116419
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KEYWORD
| easy,frac,nonn
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AUTHOR
| Leroy Quet Feb 13 2006
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EXTENSIONS
| More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 03 2006
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