OFFSET
1,1
COMMENTS
A quadratic number with denominator 2 and minimal polynomial 4x^2 - 14x + 1. - Charles R Greathouse IV, Apr 21 2016
REFERENCES
Alfred S. Posamentier & Ingmar Lehmann, Phi, The Glorious Golden Ratio, Prometheus Books, 2011.
LINKS
FORMULA
= phi^2/(1 + 1/phi^2 - 1/phi).
Also, = (phi^4)/2 = 1+3*phi/2 [Clark Kimberling, Oct 24 2012]
EXAMPLE
3.427050983124842272306880251548457176580463769708644293203172934...
MATHEMATICA
x = GoldenRatio; RealDigits[x^4/(1 - x + x^2), 10, 111][[1]]
PROG
(PARI) (1+sqrt(5))^4/32 \\ Charles R Greathouse IV, Dec 12 2013
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Robert G. Wilson v, Jan 31 2012
STATUS
approved