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

%I #17 Feb 08 2022 02:38:39

%S 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,

%T 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,

%U 2,6,6,8,9,2,5,2,7,8,1,0,1,1,9,0,7,7,4

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

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

%F Equals 1/A214070.

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

%e 0.69159419242197808428289286692643...

%o (PARI) terms=sqrtint(bitprecision(1.))+2; \\ terms needed at current precision

%o t=contfracpnqn(vector(terms,i,.5<<i));

%o t[2,1]/t[1,1] \\ _Charles R Greathouse IV_, Aug 04 2016

%Y Cf. A000079, A096641, A214070.

%K nonn,cons

%O 0,1

%A _José Eduardo Gaboardi de Carvalho_, Aug 03 2016

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Last modified June 9 07:31 EDT 2024. Contains 373229 sequences. (Running on oeis4.)