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A355512
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Sum of numerator and denominator in the convergents of the approximation of log(2)/log(3) by a continued fraction.
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4
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2, 3, 5, 13, 31, 106, 137, 791, 1719, 40328, 82375, 205078, 287453, 492531, 27376658, 27869189, 138853414, 444429431, 583282845, 1027712276, 15998966985, 17026679261, 169239080334, 355504839929, 1946763279979, 13982847799782, 15929611079761, 29912458879543, 135579446597933
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OFFSET
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1,1
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LINKS
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PROG
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(PARI) a355512(upto) = {my(q=log(2)/log(3), fa=oo); for (denmax=1, upto, my(f=bestappr(q, denmax)); if (fa!=f, print1(numerator(f)+denominator(f), ", "); fa=f))};
\\ needs increased precision for larger terms
a355512(10^6)
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CROSSREFS
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Cf. A355514 for the relation to potential cycle lengths of the 3x+1 problem.
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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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