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Search: id:A004081
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A004081 a(n) = n-th positive integer such that only one integer lies between exp(s(m)) and exp(s(m+1)), where s(m) = 1 + 1/2 + 1/3 + . . . + 1/m. +0
2
4, 8, 13, 17, 22, 26, 31, 36, 40, 45, 49, 54, 58, 63, 68, 72, 77, 81, 86, 90, 95, 99, 104, 109, 113, 118, 122, 127, 131, 136, 141, 145, 150, 154, 159, 163, 168, 173, 177, 182, 186, 191, 195, 200 (list; graph; listen)
OFFSET

1,1

FORMULA

Conjecturally, a(n) = floor(n/(2 - exp(g)) - 1/2 + exp(g)/(24n)), where g is the Euler-Mascheroni constant. - David W. Cantrell (DWCantrell(AT)sigmaxi.net), Aug 11 2007

CROSSREFS

Sequence in context: A131041 A081843 A004938 this_sequence A127264 A130236 A034856

Adjacent sequences: A004078 A004079 A004080 this_sequence A004082 A004083 A004084

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

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Last modified November 21 14:49 EST 2008. Contains 150807 sequences.


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