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A127583 Decimal expansion of smallest univoque Pisot Number. 2
1, 8, 8, 0, 0, 0, 0, 4, 7, 8, 6, 5, 5, 5, 5, 1, 1, 8, 2, 8, 1, 8, 0, 6, 8, 9, 6, 9, 8, 9, 9, 4, 7, 9, 1, 1, 0, 6, 4, 5, 6, 0, 8, 3, 9, 4, 8, 2, 2, 6, 0, 5, 7, 8, 5, 0, 9, 9, 8, 0, 6, 9, 2, 0, 9, 2, 6, 3, 5, 0, 3, 0, 7, 5, 4, 0, 1, 4, 2, 3, 5, 6, 7, 7, 0, 7, 2, 8, 5, 0, 4, 4, 2, 9, 6, 4, 9, 7, 6, 7, 2, 2, 4, 4, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The 2nd and 3rd smallest univoque Pisot numbers are 1.88668143754934130025816257714603375701548531750851456... and 1.9051661677540189095727878303640157935069696492981...

LINKS

Table of n, a(n) for n=1..105.

J.-P. Allouche, C. Frougny, K. G. Hare, On univoque Pisot numbers, arXiv:math/0610681 [math.NT], (23-October-2006)

J.-P. Allouche, C. Frougny, K. G. Hare, On univoque Pisot numbers, Math. Comp. 76 (2007), 1639-1660.

D. Terr and Eric Weisstein's World of Mathematics, Pisot Numbers.

FORMULA

The largest real root of x^14 - 2*x^13 + x^11 - x^10 - x^7 + x^6 - x^4 + x^3 - x + 1. - Robert G. Wilson v, Jul 17 2007 (corrected, Joerg Arndt, Jun 13 2015)

EXAMPLE

1.88000047865555118281806896989947911064560839482260578509980692092...

MATHEMATICA

First@ RealDigits[ FindRoot[ x^14 - 2 x^13 + x^11 - x^10 - x^7 + x^6 - x^4 + x^3 - x + 1, {x, 1.88}, WorkingPrecision -> 111][[1, 2]]] (* Robert G. Wilson v, Jul 17 2007 *)

CROSSREFS

Sequence in context: A098432 A197623 A291692 * A273818 A179639 A113809

Adjacent sequences:  A127580 A127581 A127582 * A127584 A127585 A127586

KEYWORD

cons,nonn

AUTHOR

R. J. Mathar, Jun 13 2007

EXTENSIONS

More terms from Robert G. Wilson v, Jul 17 2007

STATUS

approved

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Last modified May 26 19:44 EDT 2019. Contains 323597 sequences. (Running on oeis4.)