A159845 Decimal expansion of (363 + 38*sqrt(2))/359.

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

Offset: 1

Author

Klaus Brockhaus, Apr 30 2009

Keywords

• cons
• nonn

Comments

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A130610.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A159844.

Examples

			(363 + 38*sqrt(2))/359 = 1.16083597596149752605...
		

Links

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

Crossrefs

Cf. A130610, A159844, A002193 (decimal expansion of sqrt(2)), A159846 (decimal expansion of (293619+186550*sqrt(2))/359^2).

Programs

Magma

(363 +38*Sqrt(2))/359; // G. C. Greubel, May 19 2018

Mathematica

RealDigits[(363 +38*sqrt(2))/359, 10, 100][[1]] (* G. C. Greubel, May 19 2018 *)

PARI

(363 +38*sqrt(2))/359 \\ G. C. Greubel, May 19 2018

Formula

Equals (19 + sqrt(2))/(19 - sqrt(2)).