A355512 Sum of numerator and denominator in the convergents of the approximation of log(2)/log(3) by a continued fraction.

2, 3, 5, 13, 31, 106, 137, 791, 1719, 40328, 82375, 205078, 287453, 492531, 27376658, 27869189, 138853414, 444429431, 583282845, 1027712276, 15998966985, 17026679261, 169239080334, 355504839929, 1946763279979, 13982847799782, 15929611079761, 29912458879543, 135579446597933

Offset

1,1

Links

Table of n, a(n) for n=1..29.

Prog

(PARI) a355512(upto) = {my(q=log(2)/log(3), fa=oo); for (denmax=1, upto, my(f=bestappr(q, denmax)); if (fa!=f, print1(numerator(f)+denominator(f), ", "); fa=f))};
\\ needs increased precision for larger terms
a355512(10^6)
(PARI) \\ See also A005663 and A005664 for efficient code.

Crossrefs

Cf. A005663, A005664, A102525, A355513, A355515.

Cf. A355514 for the relation to potential cycle lengths of the 3x+1 problem.

Sequence in context: A108515 A167495 A041519 * A060434 A072999 A175093

Adjacent sequences: A355509 A355510 A355511 * A355513 A355514 A355515

Keyword

nonn

Author

Hugo Pfoertner, Jul 05 2022

Status

approved