A215755 Denominators of the continued fraction convergents of log_10(7).

1, 1, 6, 13, 71, 439, 510, 2455069, 2455579, 4910648, 12276875, 29464398, 71205671, 100670069, 171875740, 272545809, 1807150594, 9308298779, 11115449373, 931890596738, 6534349626539, 14000589849816, 20534939476355, 34535529326171, 55070468802526, 475099279746379, 2430566867534421

Offset

0,3

Comments

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

Links

Table of n, a(n) for n=0..26.

Mathematica

Rest[Denominator[Convergents[Log[10, 7], 30]]] (* Harvey P. Dale, Aug 23 2013 *)

Prog

(PARI) {my(cf=contfrac(log(7)/log(10))); vector(#cf, i, contfracpnqn( cf[1..i])[2, 1])}

Crossrefs

Numerators are in A215759.

Cf. A046104, A073733, A082571, A153620.

Sequence in context: A301605 A119110 A041305 * A144535 A042641 A292121

Adjacent sequences: A215752 A215753 A215754 * A215756 A215757 A215758

Keyword

nonn,frac

Author

V. Raman, Aug 23 2012

Extensions

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

Status

approved