A275614 Decimal expansion of number with continued fraction expansion 1, 2, 4, 8, 16, 32, ... (powers of 2).

6, 9, 1, 5, 9, 4, 1, 9, 2, 4, 2, 1, 9, 7, 8, 0, 8, 4, 2, 8, 2, 8, 9, 2, 8, 6, 6, 9, 2, 6, 4, 3, 0, 6, 3, 6, 8, 3, 3, 8, 0, 1, 4, 3, 6, 9, 6, 2, 9, 5, 5, 4, 7, 7, 3, 3, 3, 5, 5, 0, 7, 0, 9, 8, 9, 1, 7, 3, 2, 6, 6, 8, 9, 2, 5, 2, 7, 8, 1, 0, 1, 1, 9, 0, 7, 7, 4

Offset

0,1

Links

Table of n, a(n) for n=0..86.

Formula

From Amiram Eldar, Feb 08 2022: (Start)

Equals 1/A214070.

Equals 1/(1 + A096641). (End)

Example

0.69159419242197808428289286692643...

Prog

(PARI) terms=sqrtint(bitprecision(1.))+2; \\ terms needed at current precision
t=contfracpnqn(vector(terms, i, .5<<i));
t[2, 1]/t[1, 1] \\ Charles R Greathouse IV, Aug 04 2016

Crossrefs

Cf. A000079, A096641, A214070.

Sequence in context: A339802 A257871 A154116 * A198504 A357066 A179593

Adjacent sequences: A275611 A275612 A275613 * A275615 A275616 A275617

Keyword

nonn,cons

Author

José Eduardo Gaboardi de Carvalho, Aug 03 2016

Status

approved