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.

A100864 Continued fraction expansion of the square of the constant (A100338) which has the continued fraction equal to A006519 (highest power of 2 dividing n).

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%I A100864 #9 Apr 25 2022 16:58:39
%S A100864 1,1,4,1,74,1,8457,1,186282390,1,1,1,2,1,430917181166219,11,37,1,4,2,
%T A100864 41151315877490090952542206046,11,5,3,12,2,34,2,9,8,1,1,2,7,
%U A100864 13991468824374967392702752173757116934238293984253807017,3,4,1,3,100,4
%N A100864 Continued fraction expansion of the square of the constant (A100338) which has the continued fraction equal to A006519 (highest power of 2 dividing n).
%C A100864 Decimal expansion is 1.832967032396... (see A100863). Records are doubly exponential and form A100865.
%H A100864 Dzmitry Badziahin and Jeffrey Shallit, <a href="http://arxiv.org/abs/1505.00667">An Unusual Continued Fraction</a>, arXiv:1505.00667 [math.NT], 2015.
%H A100864 Dzmitry Badziahin and Jeffrey Shallit, <a href="https://doi.org/10.1090/proc/12848">An unusual continued fraction</a>, Proc. Amer. Math. Soc. 144 (2016), 1887-1896.
%o A100864 (PARI) {CFM=contfracpnqn(vector(650,n,2^valuation(n,2))); contfrac((CFM[1,1]/CFM[2,1])^2,71)}
%Y A100864 Cf. A006519, A100338, A100863, A100865.
%K A100864 cofr,nonn
%O A100864 1,3
%A A100864 _Paul D. Hanna_, Nov 21 2004