A276801 Decimal expansion of t^3, where t is the tribonacci constant A058265.

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

Offset: 1

Author

N. J. A. Sloane, Oct 28 2016

Keywords

• nonn
• cons

Comments

A cubic integer with minimal polynomial x^3 - 7x^2 + 5x - 1, of which it is the unique real root. - Charles R Greathouse IV, Nov 06 2016

Examples

			6.222262523120398626674561101108321187373560789846168428798321316639575...
		

Links

• Index entries for algebraic numbers, degree 3

Crossrefs

Cf. A058265, A276800.

Programs

Mathematica

RealDigits[x /. FindRoot[x^3 - 7*x^2 + 5*x - 1, {x, 6}, WorkingPrecision -> 120]][[1]] (* Amiram Eldar, May 27 2023 *)

PARI

polrootsreal(x^3-7*x^2+5*x-1)[1] \\ Charles R Greathouse IV, Nov 06 2016

Formula

1/t + 1/t^2 + 1/t^3 = 1/A058265 + 1/A276800 + 1/A276801 = 1.

From Dimitri Papadopoulos, Nov 07 2023: (Start)

t^3 = (A276800^2 + 1)/2.

t^3 + 1/t^3 = t + 1/t + 4.

t^3 = (1/4)*(t + 1)^2*(t - 1)^2*(t^2 + 1). (End)