A316607 Decimal expansion of the seventh smallest known Salem number.

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

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^3 - x^5 - x^7 + x^10.

Example

1.2303914344072247027901779389752790175665744896617562414019142361728...

Mathematica

c1 = {1, 0, 0, -1, 0, -1};
c2 = Join[c1, Reverse[Most[c1]]];
p = (x^Range[0, Length[c2] - 1]).c2;
sigma7 = Root[p, x, 2];
RealDigits[sigma7, 10, 102][[1]]

Crossrefs

Cf. A073011 (sigma1), A219300 (sigma2), A306078 (sigma3 ), A306079 (sigma4), A316605 (sigma5), A316606 (sigma6), A316608 (sigma8), A316609 (sigma9), A316610 (sigma10).

Sequence in context: A329970 A245255 A180188 * A194365 A216217 A253283

Adjacent sequences: A316604 A316605 A316606 * A316608 A316609 A316610

Keyword

nonn,cons

Author

Jean-François Alcover, Jul 08 2018

Status

approved