A100865 Records in the continued fraction expansion A100864.

1, 4, 74, 8457, 186282390, 430917181166219, 41151315877490090952542206046, 13991468824374967392702752173757116934238293984253807017

Offset

1,2

Comments

These terms are doubly exponential. The next term has 106 digits. Positions of these large partial quotients are given by A100866. Hans Havermann has observed that the ratio of number-of-digits to position number is about 1.03, nearly equal to the reciprocal of Lochs constant.

Links

Table of n, a(n) for n=1..8.

Dzmitry Badziahin and Jeffrey Shallit, An Unusual Continued Fraction, arXiv:1505.00667 [math.NT], 2015.

Dzmitry Badziahin and Jeffrey Shallit, An unusual continued fraction, Proc. Amer. Math. Soc. 144 (2016), 1887-1896.

Crossrefs

Cf. A006519, A100338, A100863, A100864, A100866.

Sequence in context: A108808 A358568 A139112 * A007157 A000857 A240007

Adjacent sequences: A100862 A100863 A100864 * A100866 A100867 A100868

Keyword

nonn

Author

Paul D. Hanna, Nov 21 2004

Status

approved