A159702 Decimal expansion of (969 + 44*sqrt(2))/967.

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

Offset: 1

Author

Klaus Brockhaus, Apr 21 2009

Keywords

• cons
• nonn

Comments

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A130017.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A159701.

Examples

			(969 + 44*sqrt(2))/967 = 1.06641716312762790294...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A130017, A159701, A002193 (decimal expansion of sqrt(2)), A159703 (decimal expansion of (2487411+1629850*sqrt(2))/967^2).

Programs

Magma

(969 +44*Sqrt(2))/967; // G. C. Greubel, May 22 2018

Mathematica

RealDigits[(969 +44*Sqrt[2])/967, 10, 100][[1]] (* G. C. Greubel, May 22 2018 *)

PARI

(969 +44*sqrt(2))/967 \\ G. C. Greubel, May 22 2018

Formula

Equals (44 + sqrt(2))/(44 - sqrt(2)).