A316610 Decimal expansion of the tenth smallest known Salem number.

1, 2, 3, 6, 3, 1, 7, 9, 3, 1, 8, 0, 3, 2, 3, 0, 4, 8, 9, 8, 9, 9, 0, 9, 4, 8, 6, 9, 8, 0, 2, 0, 5, 4, 5, 5, 3, 9, 4, 4, 8, 1, 9, 2, 0, 8, 3, 6, 7, 8, 6, 9, 5, 6, 3, 7, 9, 4, 7, 5, 3, 7, 8, 4, 1, 1, 1, 8, 3, 6, 9, 9, 9, 5, 6, 7, 1, 4, 1, 5, 6, 3, 4, 2, 7, 2, 4, 3, 8, 5, 4, 3, 6, 5, 4, 0, 5, 5, 6, 1, 8, 8

Offset

1,2

Links

Table of n, a(n) for n=1..102.

M. J. Mossinghoff, Small Salem Numbers

Eric Weisstein's MathWorld, Salem Constants.

Wikipedia, Salem number

Formula

p = 1 - x - x^8 - x^15 + x^16.

Example

1.2363179318032304898990948698020545539448192083678695637947537841118...

Mathematica

c1 = {1, -1, 0, 0, 0, 0, 0, 0, -1};
c2 = Join[c1, Reverse[Most[c1]]];
p = (x^Range[0, Length[c2] - 1]).c2;
sigma10 = Root[p, x, 2];
RealDigits[sigma10, 10, 102][[1]]

Crossrefs

Cf. A073011 (sigma1), A219300 (sigma2), A306078 (sigma3 ), A306079 (sigma4), A316605 (sigma5), A316606 (sigma6), A316607 (sigma7), A316608 (sigma8), A316609 (sigma9).

Sequence in context: A093396 A189971 A211605 * A322229 A245886 A224504

Adjacent sequences: A316607 A316608 A316609 * A316611 A316612 A316613

Keyword

nonn,cons

Author

Jean-François Alcover, Jul 08 2018

Status

approved