A355514 Sum of numerator and denominator in a rational approximation j/k of q = log(2)/log(3), such that q - j/k is a new minimum, i.e., q is approximated from below.

1, 3, 8, 13, 44, 75, 106, 243, 380, 517, 654, 791, 2510, 4229, 5948, 7667, 9386, 11105, 12824, 14543, 16262, 17981, 19700, 21419, 23138, 24857, 26576, 28295, 30014, 31733, 33452, 35171, 36890, 38609, 40328, 122703, 205078, 492531, 27869189, 166722603, 305576017

Offset

1,2

Links

Table of n, a(n) for n=1..41.

Prog

(PARI) a355514(upto) = {my(q=log(2)/log(3), dmin=oo); for (m=1, upto, my(n=floor(m*q), qq=n/m, d=q-qq); if (d<dmin, print1(n+m, ", "); dmin=d))};
\\ needs increased precision for larger terms
a355514(10^7)

Crossrefs

Cf. A102525, A355512, A355513, A355515.

Terms are candidates for being in A355240, which shares 3, 8, 13, 44, 75.

Sequence in context: A009848 A337504 A355240 * A281267 A346054 A153891

Adjacent sequences: A355511 A355512 A355513 * A355515 A355516 A355517

Keyword

nonn

Author

Hugo Pfoertner, Jul 05 2022

Status

approved