A160056 Decimal expansion of (107+42*sqrt(2))/89.

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

Offset: 1

Author

Klaus Brockhaus, May 04 2009

Keywords

• cons
• nonn

Comments

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129298.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160055.

Examples

			(107+42*sqrt(2))/89 = 1.86962887213112350617...
		

Links

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

Crossrefs

Cf. A129298, A160055, A002193 (decimal expansion of sqrt(2)), A160057 (decimal expansion of (8979+2990*sqrt(2))/89^2).

Programs

Magma

(107+42*Sqrt(2))/89; // G. C. Greubel, Apr 15 2018

Mathematica

RealDigits[(107+42*Sqrt[2])/89, 10, 100][[1]] (* G. C. Greubel, Apr 15 2018 *)

PARI

(107+42*sqrt(2))/89 \\ G. C. Greubel, Apr 15 2018

Formula

Equals (14+3*sqrt(2))/(14-3*sqrt(2)).