cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A215758 Numerators of the continued fraction convergents of log_10(6).

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%I A215758 #22 Jul 09 2024 12:46:12
%S A215758 0,1,3,4,7,228,235,463,128949,129412,258361,646134,3489031,4135165,
%T A215758 20029691,24164856,92524259,671834669,764358928,1436193597,
%U A215758 63956877196,65393070793,325529160368,716451391529,1041980551897,1758431943426,4558844438749,38229187453418,81017219345585,119246406799003
%N A215758 Numerators of the continued fraction convergents of log_10(6).
%C A215758 6^(denominator of convergent) gets increasingly close to 10^a(n), agreeing to approximately a(n) digits
%t A215758 Rest[Convergents[Log10[6],30]]//Numerator (* _Harvey P. Dale_, Sep 05 2020 *)
%o A215758 (PARI) {my(cf=contfrac(log(6)/log(10))); vector(#cf, i, contfracpnqn( cf[1..i])[1, 1])}
%Y A215758 Denominators are in A215754.
%Y A215758 Cf. A046104, A073733, A153496, A215750.
%K A215758 nonn,frac
%O A215758 0,3
%A A215758 _V. Raman_, Aug 23 2012
%E A215758 a(0)=0 prepended by _Andrew Howroyd_, Jul 09 2024