OFFSET
1,1
COMMENTS
Solution of y^2 - y - 8 = 0.
Decimal expansion of sqrt(8 + sqrt(8 + sqrt(8 + sqrt(8 + ... )))).
The sequence with a(1) = 2 is decimal expansion of sqrt(8 - sqrt(8 - sqrt(8 - sqrt(8 - ... )))).
A basis for the integers of the real quadratic number field K(sqrt(33)) is
<1, omega(33)>, where omega(33) = (1 + sqrt(33))/2. - Wolfdieter Lang, Feb 11 2020
LINKS
Christopher M. Conrey, Table of n, a(n) for n = 1..10000
EXAMPLE
3.37228132326901432992530573410946465911013222899139618384993873528...
MATHEMATICA
RealDigits[(1 + Sqrt[33])/2, 10, 130]
PROG
(MATLAB) val = vpa((sqrt(sym(33))+1)/2, 10001); list = char(val)-'0'; list = list([1, 3:end-1]); % Christopher M. Conrey, Jan 26 2022
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jaroslav Krizek, Feb 06 2014
STATUS
approved