A157298 Decimal expansion of (251+66*sqrt(2))/233.

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

Offset: 1

Author

Klaus Brockhaus, Apr 11 2009

Keywords

• cons
• nonn

Comments

lim_{n -> infinity} b(n)/b(n-1) = (251+66*sqrt(2))/233 for n mod 3 = {1, 2}, b = A129625.

lim_{n -> infinity} b(n)/b(n-1) = (251+66*sqrt(2))/233 for n mod 3 = {0, 2}, b = A157297.

Examples

			(251+66*sqrt(2))/233 = 1.47784590178808700953...
		

Links

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

Crossrefs

Cf. A129625, A157297, A002193 (decimal expansion of sqrt(2)), A157299 (decimal expansion of (82611+44030*sqrt(2))/233^2).

Programs

Magma

(251+66*Sqrt(2))/233; // G. C. Greubel, Mar 29 2018

Mathematica

RealDigits[(251 + 66*Sqrt[2])/233, 10, 100][[1]] (* G. C. Greubel, Mar 29 2018 *)

PARI

(251+66*sqrt(2))/233 \\ G. C. Greubel, Mar 29 2018

Formula

(251+66*sqrt(2))/233 = (22+3*sqrt(2))/(22-3*sqrt(2)).