A292340 Continued fraction of sqrt(2) with numerators equal to sqrt(3).

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

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 A359259 A224953

Adjacent sequences: A292337 A292338 A292339 * A292341 A292342 A292343

Keyword

nonn,cofr

Author

Michel Marcus, Sep 14 2017

Status

approved