A157349 Decimal expansion of (297 + 68*sqrt(2))/281.

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

Offset: 1

Author

Klaus Brockhaus, Apr 12 2009

Keywords

• cons
• nonn

Comments

lim_{n -> infinity} b(n)/b(n-1) = (297+68*sqrt(2))/281 for n mod 3 = {1, 2}, b = A129626.

lim_{n -> infinity} b(n)/b(n-1) = (297+68*sqrt(2))/281 for n mod 3 = {0, 2}, b = A157348.

Examples

			(297 + 68*sqrt(2))/281 = 1.39916911829669204027...
		

Links

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

Crossrefs

Cf. A129626, A157348, A002193 (decimal expansion of sqrt(2)), A157350 (decimal expansion of (130803+73738*sqrt(2))/281^2).

Programs

Magma

(297+68*Sqrt(2))/281; // G. C. Greubel, Feb 01 2018

Mathematica

RealDigits[(297 + 68*Sqrt[2])/281, 10, 100][[1]] (* G. C. Greubel, Feb 01 2018 *)

PARI

(297+68*sqrt(2))/281 \\ G. C. Greubel, Feb 01 2018

Formula

(297 + 68*sqrt(2))/281 = (17 + 2*sqrt(2))/(17 - 2*sqrt(2)).