A215756 Denominators of the continued fraction convergents of log_10(11).

1, 24, 145, 459, 1063, 1522, 2585, 9277, 11862, 21139, 33001, 318148, 351149, 1371595, 1722744, 3094339, 4817083, 22362671, 27179754, 103901933, 131081687, 3643107482, 3774189169, 14965674989, 78602564114, 93568239103, 265739042320, 890785366063, 37678724416966, 339999305118757, 377678029535723

Offset

0,2

Comments

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

Links

Paolo Xausa, Table of n, a(n) for n = 0..1000

Mathematica

Denominator[Convergents[Log10[11], 35]] (* Paolo Xausa, Nov 27 2025 *)

Prog

(PARI) {my(cf=contfrac(log(11)/log(10))); vector(#cf, i, contfracpnqn( cf[1..i])[2, 1])}

Crossrefs

Numerators are in A215760.

Cf. A046104, A073733, A154182, A215752.

Sequence in context: A064138 A158047 A042116 * A340639 A290313 A042118

Adjacent sequences: A215753 A215754 A215755 * A215757 A215758 A215759

Keyword

nonn,frac

Author

V. Raman, Aug 23 2012

Extensions

Offset changed by Andrew Howroyd, Jul 09 2024

Status

approved