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A086106
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Decimal expansion of positive root of x^4 - x^3 - 1 = 0.
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12
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1, 3, 8, 0, 2, 7, 7, 5, 6, 9, 0, 9, 7, 6, 1, 4, 1, 1, 5, 6, 7, 3, 3, 0, 1, 6, 9, 1, 8, 2, 2, 7, 3, 1, 8, 7, 7, 8, 1, 6, 6, 2, 6, 7, 0, 1, 5, 5, 8, 7, 6, 3, 0, 2, 5, 4, 1, 1, 7, 7, 1, 3, 3, 1, 2, 1, 1, 2, 4, 9, 5, 7, 4, 1, 1, 8, 6, 4, 1, 5, 2, 6, 1, 8, 7, 8, 6, 4, 5, 6, 8, 2, 4, 9, 0, 3, 5, 5, 0, 9, 3, 7
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OFFSET
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1,2
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COMMENTS
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Also the growth constant of the Fibonacci 3-numbers A003269 [Stakhov et al.]. - R. J. Mathar, Nov 05 2008
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LINKS
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Iain Fox, Table of n, a(n) for n = 1..20000
Simon Baker, Exceptional digit frequencies and expansions in non-integer bases, arXiv:1711.10397 [math.DS], 2017. See the beta(3) constant pp. 3-4.
A. Stakhov, B. Rozin, Theory of Binet formulas for Fibonacci and Lucas p-numbers, Chaos, Solit. Fractals 27 (2006), 1162-1177.
Eric Weisstein's World of Mathematics, Pisot-Vijayaraghavan Constant
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EXAMPLE
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1.380277569...
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MATHEMATICA
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RealDigits[Root[ -1 - #1^3 + #1^4 &, 2], 10, 110][[1]]
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PROG
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(PARI) polrootsreal( x^4-x^3-1)[2] \\ Charles R Greathouse IV, Apr 14 2014
(PARI) { default(realprecision, 20080); x=solve(x=1, 2, x^4 - x^3 - 1); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b086106.txt", n, " ", d)); } \\ Iain Fox, Oct 23 2017
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CROSSREFS
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Cf. A060006.
Sequence in context: A155979 A120669 A021267 * A199731 A010626 A198837
Adjacent sequences: A086103 A086104 A086105 * A086107 A086108 A086109
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KEYWORD
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nonn,cons
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AUTHOR
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Eric W. Weisstein, Jul 09 2003
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STATUS
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approved
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