

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



1, 1, 4, 1, 74, 1, 8457, 1, 186282390, 1, 1, 1, 2, 1, 430917181166219, 11, 37, 1, 4, 2, 41151315877490090952542206046, 11, 5, 3, 12, 2, 34, 2, 9, 8, 1, 1, 2, 7, 13991468824374967392702752173757116934238293984253807017, 3, 4, 1, 3, 100, 4
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OFFSET

1,3


COMMENTS

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


LINKS

Table of n, a(n) for n=1..41.
Dzmitry Badziahin, Jeffrey Shallit, An Unusual Continued Fraction, arXiv:1505.00667 [math.NT], 2015.


PROG

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


CROSSREFS

Cf. A006519, A100338, A100863, A100865.
Sequence in context: A173008 A298828 A114917 * A295178 A255192 A299582
Adjacent sequences: A100861 A100862 A100863 * A100865 A100866 A100867


KEYWORD

cofr,nonn


AUTHOR

Paul D. Hanna, Nov 21 2004


STATUS

approved



