A219300 Decimal expansion of the second smallest known Salem number.

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

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 with 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

Index entries for algebraic numbers, degree 18

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, A173911.

Sequence in context: A199188 A340552 A254291 * A200686 A388584 A389400

Adjacent sequences: A219297 A219298 A219299 * A219301 A219302 A219303

Keyword

cons,nonn

Author

Arkadiusz Wesolowski, Nov 17 2012

Status

approved