OFFSET
1,1
COMMENTS
Lim_{n -> infinity} b(n)/b(n-1) = (387 + 182*sqrt(2))/17^2 for n mod 3 = 1, b = A155923.
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..10000
FORMULA
Equals (26 + 7*sqrt(2))/(26 - 7*sqrt(2)) = (3 + 2*sqrt(2))/((19 + 6*sqrt(2))/17)^2 = (3 + 2*sqrt(2))*(6 - sqrt(2))^2/(6 + sqrt(2))^2.
EXAMPLE
(387 + 182*sqrt(2))/17^2 = 2.22971234723841971931...
MATHEMATICA
RealDigits[(387 + 182*Sqrt[2])/17^2, 10, 100][[1]] (* G. C. Greubel, Aug 17 2018 *)
PROG
(PARI) (387 + 182*sqrt(2))/17^2 \\ G. C. Greubel, Aug 17 2018
(Magma) SetDefaultRealField(RealField(100)); (387 + 182*Sqrt(2))/17^2; // G. C. Greubel, Aug 17 2018
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Klaus Brockhaus, Mar 11 2009
STATUS
approved