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Density of 1's in Fibonacci word A003849.
Decimal expansion of 2 - phi. [Omar E. Pol, Jan 28 2009]
Also decimal expansion of sum(n>=1, ((-1)^(n+1))*1/phi^n ). [Michel Lagneau, Dec 04 2011]
The Lambert series evaluated at this point is 0.8828541617125076... [see Andre-Jeannin]. - R. J. Mathar, Oct 28 2012
Ivan Panchenko, Table of n, a(n) for n = 0..1000
R. Andre-Jeannin, Lambert series and the summation of reciprocals in certain Fibonacci-Lucas-Type sequences, Fib. Quart. 28 (1990) 223-226
Equals A094874 - 1, or A079585 - 2, or the square of A094214.
Equals (5-sqrt(5))^2/20 = 1/phi^2 = 1/A104457. [Joost Gielen, Sep 28 2013] (corrected, Joerg Arndt, Sep 29 2013)
RealDigits[N[1/GoldenRatio^2, 200]] (* Vladimir Joseph Stephan Orlovsky, May 27 2010 *)
Sequence in context: A016622 A143623 A094874 * A132702 A197725 A022833
Adjacent sequences: A132335 A132336 A132337 * A132339 A132340 A132341
N. J. A. Sloane, Nov 07 2007