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

%I #31 Jul 02 2023 15:50:15

%S 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,

%T 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,

%U 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

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

%C Essentially the same as A096641. - _R. J. Mathar_, Aug 10 2012

%F From _Amiram Eldar_, Feb 08 2022: (Start)

%F Equals A096641 + 1.

%F Equals 1/A275614. (End)

%e 1.4459346405122026681195543406826176842704088452034385079032635605006619006916...

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

%Y Cf. A000079, A096641, A275614.

%K nonn,cons

%O 1,2

%A _Robert G. Wilson v_, Aug 06 2012

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