OFFSET
1,1
COMMENTS
n/x = x-n with n=1 gives the Golden Ratio = 1.6180339887...
Equals n +n/(n +n/(n +n/(n +....))) for n = 9. See also A090388. - Stanislav Sykora, Jan 23 2014
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..10000
FORMULA
n/x = x-n ==> x^2 - n*x - n = 0 ==> x = (n + sqrt(n^2 + 4*n)) / 2 (Positive Root) n = 9: x = (9 + sqrt(117))/2 = 9.90832691319598...
Equals (3/2)*(3 + sqrt(13)). - G. C. Greubel, Jul 03 2017
EXAMPLE
9.90832691319598...
MATHEMATICA
RealDigits[(3/2)*(3+Sqrt[13]), 10, 50][[1]] (* G. C. Greubel, Jul 03 2017 *)
PROG
(PARI) (3/2)*(3 + sqrt(13)) \\ G. C. Greubel, Jul 03 2017
CROSSREFS
KEYWORD
AUTHOR
Felix Tubiana, Feb 05 2004
STATUS
approved