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Decimal expansion of 5/(3*phi^2) where phi is the golden ratio.
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%I #32 Aug 21 2023 12:13:13

%S 6,3,6,6,1,0,0,1,8,7,5,0,1,7,5,2,5,2,9,9,2,3,5,5,2,7,6,0,5,7,2,6,9,8,

%T 0,3,7,9,9,4,8,4,7,0,0,3,2,3,7,2,8,5,6,3,1,0,7,5,8,5,6,2,8,8,2,4,5,6,

%U 5,8,9,5,3,0,1,8,2,9,2,5,0,4,8,7,9,8

%N Decimal expansion of 5/(3*phi^2) where phi is the golden ratio.

%C An algebraic number of degree 2. - _Charles R Greathouse IV_, Sep 28 2013

%C A quadratic number with denominator 2; minimal polynomial 9x^2 -15x + 25. - _Charles R Greathouse IV_, Apr 21 2016

%H <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>

%F 5/(3*phi^2), with phi = (1 + sqrt(5))/2.

%e 0.6366100187501752529923552760572698037994847...

%t RealDigits[5/(3*GoldenRatio^2), 10, 100][[1]] (* _Alonso del Arte_, Sep 28 2013 *)

%o (PARI) (15-5*sqrt(5))/6 \\ _Charles R Greathouse IV_, Sep 28 2013

%K nonn,cons

%O 0,1

%A _Joost Gielen_, Sep 20 2013