login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A316610 Decimal expansion of the tenth smallest known Salem number. 5
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 (list; constant; graph; refs; listen; history; text; internal format)
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-Fran├žois Alcover, Jul 08 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 22 06:32 EDT 2019. Contains 323478 sequences. (Running on oeis4.)