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URL: https://oeis.org/A264934

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A264934
Decimal expansion of number with continued fraction expansion 0, 1, 11, 111, 1111, 11111 ... (the repunits).
1
9, 1, 6, 7, 2, 9, 1, 8, 1, 7, 8, 9, 0, 2, 4, 1, 6, 3, 6, 5, 6, 6, 3, 0, 7, 6, 7, 3, 5, 0, 3, 2, 5, 0, 1, 8, 9, 5, 1, 7, 5, 8, 9, 9, 9, 6, 2, 1, 9, 4, 2, 7, 2, 2, 9, 8, 1, 6, 3, 9, 6, 0, 2, 2, 4, 2, 6, 8, 7, 3, 3, 1, 2, 1, 0, 2, 0, 9, 2, 9, 2, 9, 0, 2, 5, 3, 4, 9, 4, 7, 5, 5, 2, 9, 2, 0, 6, 7, 9, 2, 5, 3, 4, 8, 9, 8, 5, 6, 2
OFFSET
0,1
LINKS
Eric Weisstein's World of Mathematics, Repunit.
FORMULA
Approximation: ~ -zeta(1/2) - sqrt(5)*exp(-sqrt(2)).
EXAMPLE
0.91672918178902416365663076735032501895175899962194272298... = 0 + 1/(1 + 1/(11 + 1/(111 + 1/(1111 + 1/(11111 + 1/(111111 + 1/(1111111 + 1/(11111111 + 1/...)))))))).
MATHEMATICA
RealDigits@ N[FromContinuedFraction@ Prepend[Table[FromDigits@ Table[1, {n}], {n, 30}], 0], 110] // First (* Michael De Vlieger, Nov 28 2015 *)
CROSSREFS
Cf. A002275.
Sequence in context: A010535 A154902 A160042 * A363876 A195712 A389050
KEYWORD
nonn,cons
AUTHOR
Ilya Gutkovskiy, Nov 28 2015
STATUS
approved