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A316609 Decimal expansion of the ninth smallest known Salem number. 5
1, 2, 3, 5, 6, 6, 4, 5, 8, 0, 3, 8, 9, 7, 4, 7, 3, 0, 8, 1, 0, 5, 1, 6, 9, 3, 5, 1, 5, 3, 1, 2, 6, 3, 4, 7, 9, 7, 2, 3, 5, 1, 0, 0, 4, 2, 7, 4, 6, 2, 3, 9, 0, 7, 7, 6, 5, 0, 4, 3, 8, 0, 7, 7, 2, 0, 6, 3, 1, 1, 9, 2, 4, 9, 4, 0, 2, 7, 8, 1, 4, 9, 8, 8, 9, 1, 6, 6, 0, 7, 4, 0, 4, 2, 6, 3, 8, 5, 9, 2, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..101.

M. J. Mossinghoff, Small Salem Numbers

Eric Weisstein's MathWorld, Salem Constants.

Wikipedia, Salem number

FORMULA

p = 1 - x^2 - x^3 + x^7 + x^8 - x^10 - x^11 - x^12 + x^14 + x^15 - x^19 - x^20 + x^22.

EXAMPLE

1.2356645803897473081051693515312634797235100427462390776504380772063...

MATHEMATICA

c1 = {1, 0, -1, -1, 0, 0, 0, 1, 1, 0, -1, -1};

c2 = Join[c1, Reverse[Most[c1]]];

p = (x^Range[0, Length[c2] - 1]).c2;

sigma9 = Root[p, x, 2];

RealDigits[sigma9, 10, 101][[1]]

CROSSREFS

Cf. A073011 (sigma1), A219300 (sigma2), A306078 (sigma3 ), A306079 (sigma4), A316605 (sigma5), A316606 (sigma6), A316607 (sigma7), A316608 (sigma8), A316610 (sigma10).

Sequence in context: A247548 A001600 A175578 * A000036 A165081 A165089

Adjacent sequences:  A316606 A316607 A316608 * A316610 A316611 A316612

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Jul 08 2018

STATUS

approved

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Last modified January 18 11:14 EST 2019. Contains 319271 sequences. (Running on oeis4.)