A176020 Decimal expansion of (3+sqrt(15))/3.

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

Offset: 1

Author

Klaus Brockhaus, Apr 06 2010

Keywords

• cons
• nonn

Comments

Continued fraction expansion of (3+sqrt(15))/3 is A010693.

a(n) = A020817(n-1) for n > 1; a(1) = 2.

Examples

			(3+sqrt(15))/3 = 2.29099444873580562839...
		

Links

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

Crossrefs

Cf. A010472 (decimal expansion of sqrt(15)), A176016 (decimal expansion of (3+sqrt(15))/6), A010693 (repeat 2, 3), A020817 (decimal expansion of 1/sqrt(60)).

Programs

Mathematica

RealDigits[(3+Sqrt[15])/3,10,120][[1]] (* Harvey P. Dale, May 20 2013 *)