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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.
5
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
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
Terms are candidates for being in A355240, which shares 3, 8, 13, 44, 75.
Sequence in context: A009848 A337504 A355240 * A281267 A346054 A153891
KEYWORD
nonn
AUTHOR
Hugo Pfoertner, Jul 05 2022
STATUS
approved