A096641 -id:A096641 - cp's OEIS frontend

A214070 Decimal expansion of the number whose continued fraction is 1, 2, 4, 8, 16, ...

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

Offset: 1

Robert G. Wilson v, Aug 06 2012

Essentially the same as A096641. - R. J. Mathar, Aug 10 2012

			1.4459346405122026681195543406826176842704088452034385079032635605006619006916...

Cf. A000079, A096641, A275614.

Cf. A052119, A073824, A309930.

RealDigits[ FromContinuedFraction[{1, 2^Range@ 19}], 10, 111][[1]]

From Amiram Eldar, Feb 08 2022: (Start)
Equals A096641 + 1.
Equals 1/A275614. (End)

A275614 Decimal expansion of number with continued fraction expansion 0, 1, 2, 4, 8, 16, 32, ... (powers of 2).

Original entry on oeis.org

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

José Eduardo Gaboardi de Carvalho, Aug 03 2016

			0.69159419242197808428289286692643...

Cf. A000079, A096641, A214070.

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

From Amiram Eldar, Feb 08 2022: (Start)
Equals 1/A214070.
Equals 1/(1 + A096641). (End)

Definition corrected by Jianing Song, Mar 29 2025

cp's OEIS Frontend

A214070 Decimal expansion of the number whose continued fraction is 1, 2, 4, 8, 16, ...

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