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Denominators of the continued fraction convergents of log_10(6).
2

%I #23 Jul 09 2024 12:46:50

%S 1,1,4,5,9,293,302,595,165712,166307,332019,830345,4483744,5314089,

%T 25740100,31054189,118902667,863372858,982275525,1845648383,

%U 82190804377,84036452760,418336615417,920709683594,1339046299011,2259755982605,5858558264221,49128222096373,104115002456967,153243224553340

%N Denominators of the continued fraction convergents of log_10(6).

%C 6^a(n) gets increasingly close to 10^(numerator of convergent).

%t Denominator[Convergents[Log10[6],30]] (* _Harvey P. Dale_, Mar 22 2019 *)

%o (PARI) {my(cf=contfrac(log(6)/log(10))); vector(#cf, i, contfracpnqn( cf[1..i])[2, 1])}

%Y Numerators are in A215758.

%Y Cf. A046104, A073733, A153496, A215750.

%K nonn,frac

%O 0,3

%A _V. Raman_, Aug 23 2012

%E a(0)=1 prepended by _Andrew Howroyd_, Jul 09 2024