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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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..108.

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 * A195712 A296473 A213916

Adjacent sequences:  A264931 A264932 A264933 * A264935 A264936 A264937

KEYWORD

nonn,cons

AUTHOR

Ilya Gutkovskiy, Nov 28 2015

STATUS

approved

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Last modified January 28 03:28 EST 2020. Contains 331314 sequences. (Running on oeis4.)