A159895 Decimal expansion of (1304787+843542*sqrt(2))/727^2.

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

Offset: 1

Author

Klaus Brockhaus, Apr 30 2009

Keywords

• cons
• nonn

Comments

lim_{n -> infinity} b(n)/b(n-1) = (1304787+843542*sqrt(2))/727^2 for n mod 3 = 0, b = A130646.

lim_{n -> infinity} b(n)/b(n-1) = (1304787+843542*sqrt(2))/727^2 for n mod 3 = 1, b = A159893.

Examples

			(1304787+843542*sqrt(2))/727^2 = 4.72582495346769116482...
		

Links

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

Crossrefs

Cf. A130646, A159893, A002193 (decimal expansion of sqrt(2)), A159894 (decimal expansion of (731+54*sqrt(2))/727).

Programs

Magma

(1304787 +843542*Sqrt(2))/727^2; // G. C. Greubel, May 17 2018

Mathematica

RealDigits[(1304787+843542*Sqrt[2])/727^2, 10, 100][[1]] (* G. C. Greubel, May 17 2018 *)

PARI

(1304787 +843542*sqrt(2))/727^2 \\ G. C. Greubel, May 17 2018

Formula

Equals (1354 +623*sqrt(2))/(1354 -623*sqrt(2)).

Equals (3 +2*sqrt(2))*(27 -sqrt(2))^2/(27 +sqrt(2))^2.