

A259644


Numerators of sum(1/A112373(k)): k=0..n), denominators = A112373.


2




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[n1]^3 + b[n1]^2)/b[n2]];
a[n_] := Sum[1/b[k], {k, 0, n}] // Numerator;
Table[a[n], {n, 0, 7}] (* JeanFrançois 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



