A176051 Decimal expansion of (2+sqrt(6))/2.

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

Offset: 1

Author

Klaus Brockhaus, Apr 07 2010

Keywords

• cons
• nonn

Comments

Continued fraction expansion of (2+sqrt(6))/2 is A010694.

a(n) = A115754(n) for n > 1; a(1) = 2.

Examples

			(2+sqrt(6))/2 = 2.22474487139158904909...
Note also that (1+sqrt(6))/2 = 1.724744871391589049098642..., the mis-typed golden ratio. - _N. J. A. Sloane_, Jan 19 2025
		

Crossrefs

Cf. A010464 (decimal expansion of sqrt(6)), A115754 (decimal expansion of sqrt(3/2)), A010694 (repeat 2, 4).

See also A379800.

Programs

Mathematica

RealDigits[(2+Sqrt[6])/2,10,120][[1]]  (* Harvey P. Dale, Apr 21 2011 *)