A228777 Decimal expansion of the third smallest Pisot-Vijayaraghavan number.

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

Offset

1,2

Links

Iain Fox, Table of n, a(n) for n = 1..20000 (first 1000 terms from Vincenzo Librandi).

Wikipedia, Pisot number

Index entries for algebraic numbers, degree 5

Formula

A root of x^5-x^4-x^3+x^2-1.

Example

1.443268791270373107628127607386...

Maple

fsolve(x^5-x^4-x^3+x^2-1, x, 1.4..1.5) ;

Mathematica

Root[Function[x, x^5-x^4-x^3+x^2-1], 1] // RealDigits[#, 10, 90]& // First (* Jean-François Alcover, Feb 20 2014 *)

Prog

(PARI)  default(realprecision, 20080); x=solve(x=1, 2, x^5 - x^4 - x^3 + x^2 - 1); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b228777.txt", n, " ", d));  \\ Iain Fox, Oct 23 2017

Crossrefs

Cf. A060006, A086106, A092526.

Sequence in context: A138160 A364128 A120886 * A329205 A023402 A073261

Adjacent sequences: A228774 A228775 A228776 * A228778 A228779 A228780

Keyword

nonn,cons

Author

R. J. Mathar, Sep 04 2013

Status

approved