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
KEYWORD
nonn,cons
AUTHOR
Ilya Gutkovskiy, Nov 28 2015
STATUS
approved