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A355514
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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.
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5
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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
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OFFSET
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1,2
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LINKS
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PROG
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(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)
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CROSSREFS
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Terms are candidates for being in A355240, which shares 3, 8, 13, 44, 75.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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