A215760 Numerators of the continued fraction convergents of log_10(11).

1, 25, 151, 478, 1107, 1585, 2692, 9661, 12353, 22014, 34367, 331317, 365684, 1428369, 1794053, 3222422, 5016475, 23288322, 28304797, 108202713, 136507510, 3793905483, 3930412993, 15585144462, 81856135303, 97441279765, 276738694833, 927657364264

Offset: 0

Author

V. Raman, Aug 23 2012

Keywords

• nonn
• frac

Comments

11^(Denominators of convergents) get increasingly closer to 10^a(n), approximately a(n) digits.

Crossrefs

Denominators are in A215756.

Cf. A046104, A073733, A154182, A215752.

Programs

Mathematica

Convergents[Log10[11],30]//Numerator (* Harvey P. Dale, Dec 20 2024 *)

PARI

{my(cf=contfrac(log(11)/log(10))); vector(#cf, i, contfracpnqn( cf[1..i])[1, 1])}

Extensions

Offset changed by Andrew Howroyd, Jul 09 2024