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A275614
Decimal expansion of number with continued fraction expansion 1, 2, 4, 8, 16, 32, ... (powers of 2).
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
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
KEYWORD
nonn,cons
STATUS
approved