A275933 Decimal expansion of constant related to complexity of the tribonacci word (A080843).

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

Offset

2,3

Comments

The minimal polynomial of this constant is x^3 - 13*x^2 + 27*x - 17, and it is its unique real root. - Amiram Eldar, May 27 2023

Links

Table of n, a(n) for n=2..108.

Nataliya Chekhova, Pascal Hubert, and Ali Messaoudi, Propriétés combinatoires, ergodiques et arithmétiques de la substitution de Tribonacci, Journal de théorie des nombres de Bordeaux, 13.2 (2001): 371-394.

Formula

Equals 9+(6*t-4)/(t^2+1), where t is the tribonacci constant A058265.

Equals (13 + (847 - 33*sqrt(33))^(1/3) + (11 * (77 + 3*sqrt(33)))^(1/3))/3. - Amiram Eldar, May 27 2023

Example

10.6052382910266361207972696375...

Mathematica

RealDigits[x /. FindRoot[x^3 - 13*x^2 + 27*x - 17, {x, 10}, WorkingPrecision -> 120]][[1]] (* Amiram Eldar, May 27 2023 *)

Crossrefs

Cf. A080843, A058265.

Sequence in context: A218850 A021627 A257580 * A079540 A011492 A274419

Adjacent sequences: A275930 A275931 A275932 * A275934 A275935 A275936

Keyword

nonn,cons

Author

N. J. A. Sloane, Sep 02 2016

Extensions

More terms from Joerg Arndt, Sep 02 2016

Status

approved