A092317 a(n) = smallest odd number 2m+1 such that the partial sum Sum_{j=0..m} 1/(2j+1) of the odd harmonic series is >= n.

1, 15, 113, 837, 6183, 45691, 337607, 2494595, 18432707, 136200301, 1006391657, 7436284415, 54947122715, 406007372211, 3000011249847, 22167251422541, 163795064320249, 1210290918990281, 8942907496445513, 66079645178783351

Offset

1,2

Links

Table of n, a(n) for n=1..20.

Formula

a(n) ~ C*exp(2n) with C = 0.2807297417834425... - M. F. Hasler, Jan 22 2017

Crossrefs

Except for first term, same as A056053. Equals 2*A092318 + 1. Cf. A074599, A025547

Sequence in context: A115150 A115138 A233326 * A160075 A244872 A293875

Adjacent sequences: A092314 A092315 A092316 * A092318 A092319 A092320

Keyword

nonn

Author

N. J. A. Sloane, Feb 16 2004

Extensions

More terms (via A056053) from M. F. Hasler, Jan 22 2017

a(17) corrected - see correction in A092315. Gerhard Kirchner, Jul 25 2020

Status

approved