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 A132338 Decimal expansion of 1 - 1/phi. 5
 3, 8, 1, 9, 6, 6, 0, 1, 1, 2, 5, 0, 1, 0, 5, 1, 5, 1, 7, 9, 5, 4, 1, 3, 1, 6, 5, 6, 3, 4, 3, 6, 1, 8, 8, 2, 2, 7, 9, 6, 9, 0, 8, 2, 0, 1, 9, 4, 2, 3, 7, 1, 3, 7, 8, 6, 4, 5, 5, 1, 3, 7, 7, 2, 9, 4, 7, 3, 9, 5, 3, 7, 1, 8, 1, 0, 9, 7, 5, 5, 0, 2, 9, 2, 7, 9, 2, 7, 9, 5, 8, 1, 0, 6, 0, 8, 8, 6, 2, 5, 1, 5, 2, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Density of 1's in Fibonacci word A003849. 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 Because this equals 2 - phi, this is an integer in the quadratic number field Q(sqrt(5)). (Note that this is also sqrt(5 - 3*phi).) - Wolfdieter Lang, Jan 08 2018 LINKS 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. FORMULA Equals 1 - 1/phi = 2 - phi, with phi from A001622. 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 by Joerg Arndt, Sep 29 2013] EXAMPLE 0.38196601125010515179541316563436188... MATHEMATICA RealDigits[N[1/GoldenRatio^2, 200]] (* Vladimir Joseph Stephan Orlovsky, May 27 2010 *) CROSSREFS Cf. A001622. Sequence in context: A016622 A143623 A094874 * A132702 A197725 A022833 Adjacent sequences:  A132335 A132336 A132337 * A132339 A132340 A132341 KEYWORD cons,nonn AUTHOR N. J. A. Sloane, Nov 07 2007 STATUS approved

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Last modified March 17 12:39 EDT 2018. Contains 300557 sequences. (Running on oeis4.)