A236290 - OEIS

%I #11 Aug 21 2023 12:19:00

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

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

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

%N Decimal expansion of (sqrt(33) - 1) / 2.

%C Decimal expansion of sqrt(8 - sqrt(8 - sqrt(8 - sqrt(8 - ... )))).

%C The sequence with a(1) = 3 is decimal expansion of sqrt(8 + sqrt(8 + sqrt(8 + sqrt(8 + ... )))).

%C A quadratic integer with minimal polynomial x^2 + x - 8. - _Charles R Greathouse IV_, Apr 21 2016

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

%F A235162 - 1.

%e 2.37228132326901432992530573410946465911013222899139618384993873528...

%t RealDigits[(Sqrt[33] - 1)/2, 10, 130]

%o (PARI) (sqrt(33)-1)/2 \\ _Charles R Greathouse IV_, Apr 21 2016

%Y Cf. A010488,  A235162.

%K nonn,cons

%O 1,1

%A _Jaroslav Krizek_, Feb 07 2014