A159467 Decimal expansion of (129+16*sqrt(2))/127.

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

Offset: 1

Author

Klaus Brockhaus, Apr 13 2009

Keywords

• cons
• nonn

Comments

lim_{n -> infinity} b(n)/b(n-1) = (129+16*sqrt(2))/127 for n mod 3 = {1, 2}, b = A129992.

lim_{n -> infinity} b(n)/b(n-1) = (129+16*sqrt(2))/127 for n mod 3 = {0, 2}, b = A159466.

Examples

			(129+16*sqrt(2))/127 = 1.19391666927535055732...
		

Links

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

Crossrefs

Cf. A129992, A159466, A002193 (decimal expansion of sqrt(2)), A159468 (decimal expansion of (34947+21922*sqrt(2))/127^2).

Programs

Magma

(129+16*Sqrt(2))/127; // G. C. Greubel, Mar 30 2018

Maple

with(MmaTranslator[Mma]): Digits:=100:
RealDigits(evalf((129+16*sqrt(2))/127))[1]; # Muniru A Asiru, Mar 31 2018

Mathematica

RealDigits[(129+16*Sqrt[2])/127, 10, 100][[1]] (* G. C. Greubel, Mar 30 2018 *)

PARI

(129+16*sqrt(2))/127 \\ G. C. Greubel, Mar 30 2018

Formula

(129+16*sqrt(2))/127 = (16+sqrt(2))/(16-sqrt(2)).