A159703 Decimal expansion of (2487411+1629850*sqrt(2))/967^2.

5, 1, 2, 5, 0, 3, 8, 3, 3, 8, 2, 0, 5, 0, 1, 4, 6, 7, 2, 7, 0, 9, 6, 9, 1, 1, 2, 7, 9, 6, 0, 2, 0, 1, 0, 2, 1, 8, 8, 8, 5, 8, 9, 9, 6, 9, 5, 9, 9, 8, 1, 2, 2, 2, 8, 6, 4, 0, 2, 8, 0, 7, 3, 3, 6, 6, 7, 2, 7, 1, 5, 9, 6, 6, 3, 0, 3, 3, 6, 9, 5, 9, 6, 5, 8, 7, 1, 0, 6, 9, 2, 5, 9, 0, 6, 5, 8, 8, 7, 5, 5, 9, 5, 9, 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 = 0, b = A130017.

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

Examples

			(2487411+1629850*sqrt(2))/967^2 = 5.12503833820501467270...
		

Links

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

Crossrefs

Cf. A130017, A159701, A002193 (decimal expansion of sqrt(2)), A159702 (decimal expansion of (969+44*sqrt(2))/967).

Programs

Magma

(2487411 +1629850*Sqrt(2))/967^2; // G. C. Greubel, May 22 2018

Mathematica

RealDigits[(2487411+1629850*Sqrt[2])/967^2, 10, 100][[1]] (* G. C. Greubel, May 22 2018 *)

PARI

(2487411 +1629850*sqrt(2))/967^2 \\ G. c. Greubel, May 22 2018

Formula

Equals (1850 +881*sqrt(2))/(1850 -881*sqrt(2)).

Equals (3 +2*sqrt(2))*(44 -sqrt(2))^2/(44 +sqrt(2))^2.