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 A002211 Continued fraction for Khintchine's constant. (Formerly M0118 N0047) 14
 2, 1, 2, 5, 1, 1, 2, 1, 1, 3, 10, 2, 1, 3, 2, 24, 1, 3, 2, 3, 1, 1, 1, 90, 2, 1, 12, 1, 1, 1, 1, 5, 2, 6, 1, 6, 3, 1, 1, 2, 5, 2, 1, 2, 1, 1, 4, 1, 2, 2, 3, 2, 1, 1, 4, 1, 1, 2, 5, 2, 1, 1, 3, 29, 8, 3, 1, 4, 3, 1, 10, 50, 1, 2, 2, 7, 6, 2, 2, 16, 4, 4, 2, 2, 3, 1, 1, 7, 1, 5, 1, 2, 1, 5, 3, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Incrementally larger terms in the continued fraction for Khintchine's constant: 1, 2, 5, 10, 24, 90, 770, 941, 11759, 54097, 231973, ..., and they occur at 1, 2, 3, 10, 15, 23, 104, 1701, 2445, 18995, 60037, ... - Robert G. Wilson v, Dec 09 2013 REFERENCES N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS T. D. Noe, Table of n, a(n) for n = 0..999 D. Shanks and J. W. Wrench, Jr., Khintchine's constant, Amer. Math. Monthly, 66 (1959), 276-279. J. W. Wrench, Further evaluation of Khintchine's constant, Math. Comp., 14 (1960), 370-371. J. W. Wrench, Jr. and D. Shanks, Questions concerning Khintchine's constant and the efficient computation of regular continued fractions, Math. Comp., 20 (1966), 444-448. G. Xiao, Contfrac Eric Weisstein's World of Mathematics, Khinchin's Constant Continued Fraction EXAMPLE 2.685452001065306445309714835... = 2 + 1/(1 + 1/(2 + 1/(5 + 1/(1 + ...)))) [a_0; a_1, a_2, ...] = [2, 1, 2, ...] MATHEMATICA ContinuedFraction[Khinchin, 100] CROSSREFS Cf. A002210. Sequence in context: A109851 A245841 A011404 * A175011 A211700 A171840 Adjacent sequences:  A002208 A002209 A002210 * A002212 A002213 A002214 KEYWORD cofr,nonn,nice,easy AUTHOR EXTENSIONS More terms from Robert G. Wilson v, Oct 31 2001 STATUS approved

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Last modified February 19 12:31 EST 2019. Contains 320310 sequences. (Running on oeis4.)