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 A275933 Decimal expansion of constant related to complexity of the tribonacci word (A080843). 0
 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 (list; constant; graph; refs; listen; history; text; internal format)
 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

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Last modified July 13 14:24 EDT 2024. Contains 374284 sequences. (Running on oeis4.)