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A166126 Decimal expansion of 1/(imaginary part of (15+2*I)^(1/2))^2. 2

%I #3 Mar 30 2012 17:28:04

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

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

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

%N Decimal expansion of 1/(imaginary part of (15+2*I)^(1/2))^2.

%C lim_{n -> infinity} b(n)/b(n-1) = 1/imag((15+2*I)^(1/2))^2 for b = A154597.

%C Contribution from _Klaus Brockhaus_, May 28 2010: (Start)

%C Also decimal expansion of (15+sqrt(229))/2.

%C Continued fraction expansion of (15+sqrt(229))/2 is A010854. (End)

%e 1/imag((15+2*I)^(1/2))^2 = 15.06637297521077796....

%Y A154597, A166125 (decimal expansion of sqrt(229)).

%Y Cf. A010854 (all 15's sequence). [From _Klaus Brockhaus_, May 28 2010]

%K cons,nonn

%O 2,2

%A _Klaus Brockhaus_, Oct 07 2009

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