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%I #16 Aug 02 2024 11:50:49
%S 2,3,5,13,31,106,137,791,1719,40328,82375,205078,287453,492531,
%T 27376658,27869189,138853414,444429431,583282845,1027712276,
%U 15998966985,17026679261,169239080334,355504839929,1946763279979,13982847799782,15929611079761,29912458879543,135579446597933
%N Sum of numerator and denominator in the convergents of the approximation of log(2)/log(3) by a continued fraction.
%o (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))};
%o \\ needs increased precision for larger terms
%o a355512(10^6)
%o (PARI) \\ See also A005663 and A005664 for efficient code.
%Y Cf. A005663, A005664, A102525, A355513, A355515.
%Y Cf. A355514 for the relation to potential cycle lengths of the 3x+1 problem.
%K nonn
%O 1,1
%A _Hugo Pfoertner_, Jul 05 2022
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