A160043 Decimal expansion of (5907+1802*sqrt(2))/73^2.

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

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 = 0, b = A129289.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A160041.

Examples

			(5907+1802*sqrt(2))/73^2 = 1.58667908414267541338...
		

Links

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

Crossrefs

Cf. A129289, A160041, A002193 (decimal expansion of sqrt(2)), A160042 (decimal expansion of (89+36*sqrt(2))/73).

Programs

Magma

(5907+1802*Sqrt(2))/73^2; // G. C. Greubel, Apr 15 2018

Mathematica

RealDigits[(5907 + 1802*Sqrt[2])/73^2, 10, 50][[1]] (* G. C. Greubel, Apr 15 2018 *)

PARI

(5907+1802*sqrt(2))/73^2 \\ G. C. Greubel, Apr 15 2018

Formula

Equals (106+17*sqrt(2))/(106-17*sqrt(2)).

Equals (3+2*sqrt(2))*(9-2*sqrt(2))^2/(9+2*sqrt(2))^2.