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Decimal expansion of sqrt(2)/phi, where phi = (1+sqrt(5))/2.
3

%I #19 Sep 08 2022 08:45:13

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

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

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

%N Decimal expansion of sqrt(2)/phi, where phi = (1+sqrt(5))/2.

%C An algebraic integer with minimal polynomial x^4 - 6*x^2 + 4. - _Charles R Greathouse IV_, Mar 25 2014

%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 3.16 Turan's power sums constants, p. 246.

%H Ivan Panchenko, <a href="/A094883/b094883.txt">Table of n, a(n) for n = 0..1000</a>

%e 0.874032048897642...

%t RealDigits[Sqrt[2]/GoldenRatio, 10, 100][[1]] (* _G. C. Greubel_, Aug 17 2018 *)

%o (PARI) sqrt(3-sqrt(5)) \\ _Charles R Greathouse IV_, Mar 25 2014

%o (Magma) SetDefaultRealField(RealField(100)); 2*Sqrt(2)/(1 + Sqrt(5)); // _G. C. Greubel_, Aug 17 2018

%K cons,nonn

%O 0,1

%A _N. J. A. Sloane_, Jun 15 2004