A160177 Decimal expansion of (633+100*sqrt(2))/617.

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

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 = {1, 2}, b = A115135.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160176.

Examples

			(633+100*sqrt(2))/617 = 1.25513996148672529153...
		

Links

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

Crossrefs

Cf. A115135, A160176, A002193 (decimal expansion of sqrt(2)), A160178 (decimal expansion of (755667+461578*sqrt(2))/617^2).

Programs

Magma

(633+100*Sqrt(2))/617; // G. C. Greubel, Apr 25 2018

Mathematica

RealDigits[(633+100Sqrt[2])/617,10,120][[1]] (* Harvey P. Dale, Nov 25 2013 *)

PARI

(633+100*sqrt(2))/617 \\ G. C. Greubel, Apr 25 2018

Formula

Equals (25 +2*sqrt(2))/(25 -2*sqrt(2)).