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A087460 Least n such that H(n) is closer to an integer than any H(j) with j < n; where H(n) is the harmonic number sum_{i=0..n} 1/i. 0
2, 3, 4, 10, 11, 30, 83, 226, 4549, 91379, 91380, 248396, 248397, 675213, 4989190, 4989191, 13562026, 13562027, 36865412, 2012783315 (list; graph; refs; listen; history; internal format)
OFFSET

2,1

COMMENTS

H(36865412) = 18.000000003719931082993704481490195538573320586002

MATHEMATICA

d = 1; s = 1; n = 2; Do[ While[s = N[s + 1/n, 50]; Abs[Round[s] - s] > d, n++ ]; Print[n]; d = Abs[Round[s] - s]; n++, {i, 2, 18}]

CROSSREFS

Cf. A002387, A004796.

Sequence in context: A120023 A115897 A116019 * A082866 A085701 A051627

Adjacent sequences:  A087457 A087458 A087459 * A087461 A087462 A087463

KEYWORD

more,nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 03 2003

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Last modified February 16 17:48 EST 2012. Contains 205939 sequences.