A176019 Decimal expansion of (3+sqrt(13))/6.

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

Offset: 1

Author

Klaus Brockhaus, Apr 06 2010

Keywords

• cons
• nonn

Comments

Continued fraction expansion of (3+sqrt(13))/6 is A010690.

Minimal polynomial: 9*x^2 - 9*x - 1. - Amiram Eldar, Dec 03 2024

Examples

			1.10092521257733154885320354457841599104188276230754...
		

Links

• Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A010470 (decimal expansion of sqrt(13)), A010690 (repeat 1, 9), A092936.

Programs

Mathematica

RealDigits[(3 + Sqrt[13])/6, 10, 120][[1]] (* Amiram Eldar, Dec 03 2024 *)

Formula

Equals Product_{k>=2} (1 + (-1)^k/A092936(k)). - Amiram Eldar, Dec 03 2024