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A013697
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Second term in continued fraction for zeta(n).
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2
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1, 4, 12, 27, 57, 119, 245, 497, 1005, 2023, 4063, 8149, 16327, 32692, 65435, 130938, 261965, 524050, 1048259, 2096730, 4193742, 8387859, 16776218, 33553102, 67107091, 134215364, 268432305, 536866711, 1073736223, 2147476180
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,2
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FORMULA
| Contribution from Franklin T Adams-Watters (FrankTAW(AT)Netscape.net), Mar 23 2010: (Start)
a(n) = floor(1/(zeta(n)-1))
a(n) = 2^n - (4/3)^n + O(1). It appears that a(n) = 2^n - floor((4/3)^n) - k, where k is usually 2 but is sometimes 1. Up to n=1000, the only values of n where k = 1 are 4, 5, 13, 14, and 17. (End)
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CROSSREFS
| Bisections: A190297, A190584.
Sequence in context: A007009 A188814 A104384 * A064444 A072182 A009906
Adjacent sequences: A013694 A013695 A013696 * A013698 A013699 A013700
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 22 2001
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