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A215754
Denominators of the continued fraction convergents of log_10(6).
2
1, 1, 4, 5, 9, 293, 302, 595, 165712, 166307, 332019, 830345, 4483744, 5314089, 25740100, 31054189, 118902667, 863372858, 982275525, 1845648383, 82190804377, 84036452760, 418336615417, 920709683594, 1339046299011, 2259755982605, 5858558264221, 49128222096373, 104115002456967, 153243224553340
OFFSET
0,3
COMMENTS
6^a(n) gets increasingly close to 10^(numerator of convergent).
MATHEMATICA
Denominator[Convergents[Log10[6], 30]] (* Harvey P. Dale, Mar 22 2019 *)
PROG
(PARI) {my(cf=contfrac(log(6)/log(10))); vector(#cf, i, contfracpnqn( cf[1..i])[2, 1])}
CROSSREFS
Numerators are in A215758.
Sequence in context: A042179 A042427 A009778 * A226486 A060648 A263828
KEYWORD
nonn,frac
AUTHOR
V. Raman, Aug 23 2012
EXTENSIONS
a(0)=1 prepended by Andrew Howroyd, Jul 09 2024
STATUS
approved