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A219300 Decimal expansion of the second smallest known Salem number. 9
1, 1, 8, 8, 3, 6, 8, 1, 4, 7, 5, 0, 8, 2, 2, 3, 5, 8, 8, 1, 4, 2, 9, 6, 0, 9, 5, 8, 6, 2, 9, 5, 9, 3, 5, 9, 4, 7, 0, 4, 7, 0, 4, 5, 6, 0, 0, 6, 2, 9, 0, 5, 6, 8, 8, 7, 4, 1, 4, 5, 3, 3, 7, 1, 2, 9, 1, 9, 6, 0, 6, 4, 1, 4, 0, 2, 1, 7, 4, 5, 8, 9, 4, 7, 5, 8, 3, 5, 0, 9, 8, 8, 0, 6, 7, 9, 6, 7, 7, 4, 5, 0, 8, 8, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

This number is algebraic of degree 18. Sequence A073011 contains the smallest known Salem number.

It is the only root r of the polynomial x^18 - x^17 + x^16 - x^15 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^3 + x^2 - x + 1 such that abs(r) > 1. - Joerg Arndt, Nov 18 2012

LINKS

Arkadiusz Wesolowski, Table of n, a(n) for n = 1..10000

M. J. Mossinghoff, Small Salem Numbers

Wikipedia, Salem number

EXAMPLE

1.188368147508223588142960958....

MATHEMATICA

RealDigits[x /. FindRoot[x^18 - x^17 + x^16 - x^15 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^3 + x^2 - x + 1 == 0, {x, 1, 2}, WorkingPrecision -> 200]][[1]]

CROSSREFS

Cf. A073011, A167289, A173911.

Sequence in context: A021535 A199188 A254291 * A200686 A222066 A303617

Adjacent sequences:  A219297 A219298 A219299 * A219301 A219302 A219303

KEYWORD

cons,nonn

AUTHOR

Arkadiusz Wesolowski, Nov 17 2012

STATUS

approved

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Last modified May 23 03:10 EDT 2019. Contains 323507 sequences. (Running on oeis4.)