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Denominators of the continued fraction convergents of log_10(3).
2

%I #31 Jul 09 2024 12:46:53

%S 1,2,21,44,109,153,2098,2251,17855,323641,665137,1653915,2319052,

%T 6292019,21195109,91072455,112267564,203340019,2959027830,6121395679,

%U 272300437706,278421833385,1107565937861,1385987771246,20511394735305,42408777241856,105328949219017,147737726460873

%N Denominators of the continued fraction convergents of log_10(3).

%C 3^a(n) gets increasingly close to 10^(numerator of convergent).

%t Denominator[Convergents[Log[10,3],30]] (* _Harvey P. Dale_, Jan 24 2015 *)

%o (PARI) {my(cf=contfrac(log(3)/log(10))); vector(#cf, i, contfracpnqn( cf[1..i])[2, 1])}

%Y Numerators are in A215757.

%Y Cf. A114490, A215749.

%Y Cf. A046104, A073733.

%K nonn,frac

%O 0,2

%A _V. Raman_, Aug 23 2012