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A191909
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Decimal expansion of the limit of the square root of the ratio of consecutive Padovan numbers.
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0
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8, 6, 8, 8, 3, 6, 9, 6, 1, 8, 3, 2, 7, 0, 9, 3, 0, 1, 8, 0, 6, 5, 6, 9, 9, 6, 4, 1, 9, 1, 0, 9, 7, 2, 2, 2, 4, 7, 7, 4, 6, 5, 6, 6, 2, 0, 1, 4, 4, 9, 9, 3, 1, 6, 9, 2, 6, 0, 8, 7, 1, 9, 8, 5, 6, 1, 2, 6, 0, 2, 2, 0, 7, 5, 2, 2, 7, 7, 7, 4, 1, 1, 8, 1, 4, 2
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OFFSET
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0,1
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COMMENTS
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This is the square root of the inverse of the plastic number A060006: 1.32471795724...
This is the positive root of x^6 + x^4 - 1 = 0 and the square root of A075778.
An algebraic integer of degree 6 and minimal polynomial x^6 + x^4 - 1. - Charles R Greathouse IV, Apr 21 2016
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LINKS
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Table of n, a(n) for n=0..85.
Wikipedia, Plastic number
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EXAMPLE
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0.868836961832709301806569964191...
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MATHEMATICA
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RealDigits[x/.FindRoot[x^6+x^4==1, {x, .8}, WorkingPrecision->120]][[1]] (* Harvey P. Dale, Jan 17 2014 *)
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PROG
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(PARI) polrootsreal(x^6+x^4-1)[2] \\ Charles R Greathouse IV, Apr 21 2016
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CROSSREFS
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Cf. A000931, A060006.
Sequence in context: A355185 A188655 A282152 * A247559 A246768 A088541
Adjacent sequences: A191906 A191907 A191908 * A191910 A191911 A191912
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KEYWORD
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nonn,cons
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AUTHOR
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Fabrice Auzanneau, Jun 19 2011
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STATUS
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approved
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