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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.
4
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
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
KEYWORD
nonn
AUTHOR
Hugo Pfoertner, Jul 05 2022
STATUS
approved