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 A259644 Numerators of sum(1/A112373(k)): k=0..n), denominators = A112373. 2
 1, 2, 5, 31, 2419, 176795035, 883922739668546300971, 1511516294872733607299090320742127160367108420362968907 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..10 Andrew N. W. Hone, Update on A112373, SeqFan list, July 02 2015. Andrew N. W. Hone, Curious continued fractions, nonlinear recurrences and transcendental numbers, arXiv:1507.00063 [math.NT], 2015. EXAMPLE Sum(1/A112373(k)) = 1, 2, 5/2, 31/12, 2419/936, 176795035/68408496, ... MATHEMATICA (* b = A112373 *) b[n_] := b[n] = If[n < 2, 1, (b[n-1]^3 + b[n-1]^2)/b[n-2]]; a[n_] := Sum[1/b[k], {k, 0, n}] // Numerator; Table[a[n], {n, 0, 7}] (* Jean-François Alcover, Dec 15 2018 *) PROG (Haskell) import Data.Ratio (numerator) a259644 n = a259644_list !! n a259644_list = map numerator \$                scanl1 (+) \$ map (recip . fromIntegral) a112373_list CROSSREFS Cf. A112373. Sequence in context: A080582 A064845 A295391 * A132527 A182327 A032504 Adjacent sequences:  A259641 A259642 A259643 * A259645 A259646 A259647 KEYWORD nonn,frac AUTHOR Reinhard Zumkeller, Jul 02 2015 STATUS approved

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Last modified August 9 22:42 EDT 2020. Contains 336335 sequences. (Running on oeis4.)