A355513 Sum of numerator and denominator in a rational approximation j/k of q = log(2)/log(3), such that abs(j/k - q) is a new minimum.

2, 3, 5, 8, 13, 18, 31, 75, 106, 137, 517, 654, 791, 928, 1719, 21419, 23138, 24857, 26576, 28295, 30014, 31733, 33452, 35171, 36890, 38609, 40328, 82375, 205078, 287453, 492531, 14078321, 14570852, 15063383, 15555914, 16048445, 16540976, 17033507, 17526038, 18018569

Offset

1,1

Links

Table of n, a(n) for n=1..40.

Prog

(PARI) a355513(upto) = {my(q=log(2)/log(3), dmin=oo); for (m=1, upto, my(n=round(m*q), qq=n/m, d=abs(qq-q)); if(d<dmin, print1(n+m, ", "); dmin=d))};
\\ needs increased precision for larger terms
a355513(10^7)

Crossrefs

Cf. A102525, A355512, A355514, A355515.

Sequence in context: A343484 A301754 A120761 * A281967 A178741 A308929

Adjacent sequences: A355510 A355511 A355512 * A355514 A355515 A355516

Keyword

nonn

Author

Hugo Pfoertner, Jul 05 2022

Status

approved