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Decimal expansion of the constant whose continued fraction representation is [Phi^0; Phi^1, Phi^2, Phi^3, Phi^4, ...] where Phi is the golden ratio (A001622) and the exponents cycle through all nonnegative integers.
0

%I #4 Oct 12 2013 15:27:02

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

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

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

%N Decimal expansion of the constant whose continued fraction representation is [Phi^0; Phi^1, Phi^2, Phi^3, Phi^4, ...] where Phi is the golden ratio (A001622) and the exponents cycle through all nonnegative integers.

%e 1.50777857...

%Y Cf. A001622

%Y Cf. A100609

%K cons,nonn

%O 1,2

%A _Jonathan D. B. Hodgson_, Sep 15 2010

%E More digits from _R. J. Mathar_, Sep 19 2010