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 A056053 a(n) = smallest odd number 2m+1 such that the partial sum of the odd harmonic series Sum_{j=0..m} 1/(2j+1) is > n. 10
 3, 15, 113, 837, 6183, 45691, 337607, 2494595, 18432707, 136200301, 1006391657, 7436284415, 54947122715, 406007372211, 3000011249847, 22167251422541, 163795064320249, 1210290918990281, 8942907496445513, 66079645178783351 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES Calvin C. Clawson, "Mathematical Mysteries, The Beauty and Magic of Numbers," Plenum Press, NY and London, 1996, page 64. LINKS FORMULA a(n) ~= floor( (1/2)*A002387(2n)). The next term is approximately the previous term * e^2. a(n) = A092315(n)*2 + 1 = floor(exp(n*2-Euler)/4+1/8)*2+1 for all n (conjectured). - M. F. Hasler, Jan 24 2017 MATHEMATICA s = 0; k = 1; Do[ While[s = N[s + 1/k, 24]; s <= n, k += 2]; Print[k]; k += 2, {n, 1, 11}] CROSSREFS Cf. A002387, A056054, A091463, A091464, A091465. Cf. also A092318, A092317, A092315, A281355, A074599, A025547. Sequence in context: A299508 A299308 A300109 * A295758 A343707 A059849 Adjacent sequences:  A056050 A056051 A056052 * A056054 A056055 A056056 KEYWORD nonn AUTHOR Robert G. Wilson v, Jul 25 2000 and Jan 11 2004 EXTENSIONS Corrected by N. J. A. Sloane, Feb 16, 2004 More terms from Robert G. Wilson v, Apr 17 2004 a(17) corrected - see correction in A092315. Gerhard Kirchner, Jul 25 2020 STATUS approved

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Last modified September 16 07:19 EDT 2021. Contains 347469 sequences. (Running on oeis4.)