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Search: id:A082913
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| A082913 |
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Sum of a(n) terms of harmonic series Sum 1/i is > 2^n. |
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+0
1
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| 2, 4, 31, 1674, 4989191, 44334502845080, 3500783582875029181027036603, 21827907538883637012326748457700300661358717434156476363
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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Julian Havil, Gamma, Exploring Euler's Constant, Princeton University Press, Princeton and Oxford, 2003, page 23.
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FORMULA
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H_n ~= Ln(n) + Euler's Gamma Constant (A001620) + 1/(2n).
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MATHEMATICA
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f[n_] := Floor[Exp[n - EulerGamma] - 1/2] + 1; Table[ f[ 2^n], {n, 0, 7}]
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CROSSREFS
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Cf. A002387, A001620.
Adjacent sequences: A082910 A082911 A082912 this_sequence A082914 A082915 A082916
Sequence in context: A087186 A051759 A051570 this_sequence A083205 A019542 A101575
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 14 2003
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