A160211 Decimal expansion of (933747 +224782*sqrt(2))/937^2.

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

Offset: 1

Author

Klaus Brockhaus, May 18 2009

Keywords

• cons
• nonn

Comments

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A129974.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A160209.

Examples

			(933747+224782*sqrt(2))/937^2 = 1.42560472291999951166...
		

Links

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

Crossrefs

Cf. A129974, A160209, A002193 (decimal expansion of sqrt(2)), A160210 (decimal expansion of (1179+506*sqrt(2))/937).

Programs

Magma

(933747 +224782*Sqrt(2))/937^2; // G. C. Greubel, Apr 08 2018

Mathematica

RealDigits[(933747+224782*Sqrt[2])/937^2, 10, 100][[1]] (* G. C. Greubel, Apr 08 2018 *)

PARI

(933747 +224782*sqrt(2))/937^2 \\ G. C. Greubel, Apr 08 2018

Formula

Equals (1346 +167*sqrt(2))/(1346 -167*sqrt(2));

Equals (3+2*sqrt(2))*(46-11*sqrt(2))^2/(46+11*sqrt(2))^2.