login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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). 4

%I

%S 1,1,4,1,74,1,8457,1,186282390,1,1,1,2,1,430917181166219,11,37,1,4,2,

%T 41151315877490090952542206046,11,5,3,12,2,34,2,9,8,1,1,2,7,

%U 13991468824374967392702752173757116934238293984253807017,3,4,1,3,100,4

%N 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 Decimal expansion is 1.832967032396... (see A100863). Records are doubly exponential and form A100865.

%H Dzmitry Badziahin, Jeffrey Shallit, <a href="http://arxiv.org/abs/1505.00667">An Unusual Continued Fraction</a>, arXiv:1505.00667 [math.NT], 2015.

%o (PARI) {CFM=contfracpnqn(vector(650,n,2^valuation(n,2))); contfrac((CFM[1,1]/CFM[2,1])^2,71)}

%Y Cf. A006519, A100338, A100863, A100865.

%K cofr,nonn

%O 1,3

%A _Paul D. Hanna_, Nov 21 2004

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 22 22:24 EDT 2020. Contains 337291 sequences. (Running on oeis4.)