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A292340 Continued fraction of sqrt(2) with numerators equal to sqrt(3). 0
1, 4, 9, 3, 8, 3, 14, 81, 3, 10, 5, 74, 3, 3, 159, 2, 2, 2, 2, 2, 5, 98, 2, 2, 2, 87, 5, 12, 6, 95, 3, 8, 5, 3, 5, 13, 2, 8, 2, 5, 11, 4, 2, 2, 3, 4, 2, 10, 20, 1, 2, 7, 4, 2, 4, 4, 3, 1, 2, 13, 2, 4, 14, 6, 10, 25, 2, 3, 2, 46, 3, 2, 4, 5, 3, 1, 2, 82, 3, 14 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Greene and Schmieg ask if this sequence is periodic.

LINKS

Table of n, a(n) for n=0..79.

John Greene and Jesse Schmieg, Continued Fractions with Non-Integer Numerators, Journal of Integer Sequences, Vol. 20 (2017), Article 17.1.2. See (17) p. 10.

PROG

(PARI) lista(nn) = {my(x = sqrt(2)); for (n=1, nn, print1(a = floor(x), ", "); x = sqrt(3)/(x - a); ); }

CROSSREFS

Cf. A002193, A002194.

Sequence in context: A198828 A200369 A226094 * A329218 A224953 A120869

Adjacent sequences:  A292337 A292338 A292339 * A292341 A292342 A292343

KEYWORD

nonn,cofr

AUTHOR

Michel Marcus, Sep 14 2017

STATUS

approved

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Last modified May 23 06:27 EDT 2022. Contains 353961 sequences. (Running on oeis4.)