A215754 Denominators of the continued fraction convergents of log_10(6).

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

Author

V. Raman, Aug 23 2012

Keywords

• nonn
• frac

Comments

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

Crossrefs

Numerators are in A215758.

Cf. A046104, A073733, A153496, A215750.

Programs

Mathematica

Denominator[Convergents[Log10[6],30]] (* Harvey P. Dale, Mar 22 2019 *)

PARI

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

Extensions

a(0)=1 prepended by Andrew Howroyd, Jul 09 2024