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 A281355 a(n) = A092318(n) + 1: Number of terms of the odd harmonic series 1 + 1/3 + 1/5 + 1/7 + ... required to reach a sum >= n. 5
 1, 8, 57, 419, 3092, 22846, 168804, 1247298, 9216354, 68100151, 503195829, 3718142208, 27473561358, 203003686106, 1500005624924, 11083625711271, 81897532160125, 605145459495141, 4471453748222757, 33039822589391676 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS A different way of listing the sums mentioned in A092318. A092318 is the main entry for this problem. LINKS Gerhard Kirchner, Table of n, a(n) for n = 1..1000 [replacing an older version by Vincenzo Librandi] Jerry V Polfer, found a new sequence, not sure if interesting, and how to properly submit, Seqfan list, Jan. 22, 2017 (and follow-up messages). Albert Säfström, n describes the expected number of loops created by tieing together two random loose ends of a(n) ropes until there is none left. FORMULA Lim_{n -> oo} a(n)/exp(2*n) = 1/4e^gamma ~ 0.140364870891721292456...; a(n) = floor(exp(2*n-gamma)/4+1), for all given values a(n) > 1. - M. F. Hasler and Robert G. Wilson v, Jan 23 2017 [corrected by Gerhard Kirchner, Jul 25 2020] CROSSREFS Cf. A002387, A092318. Sequence in context: A277671 A015453 A181246 * A281912 A343352 A307642 Adjacent sequences: A281352 A281353 A281354 * A281356 A281357 A281358 KEYWORD nonn AUTHOR N. J. A. Sloane, Jan 22 2017, following a suggestion from Jerry Polfer EXTENSIONS More explicit, self-contained definition by M. F. Hasler, Jan 22 2017 More terms (computed using A056053) from M. F. Hasler, Jan 23 2017 a(17) corrected in data and 127 terms in the b-file, according to the corrections in A092315, Gerhard Kirchner, Jul 27 2020 STATUS approved

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Last modified December 3 02:05 EST 2023. Contains 367530 sequences. (Running on oeis4.)