login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A159898 Decimal expansion of (1760979+1141390*sqrt(2))/839^2. 4
4, 7, 9, 4, 7, 8, 2, 6, 7, 8, 6, 7, 7, 0, 4, 8, 9, 2, 7, 0, 1, 2, 7, 7, 4, 8, 6, 0, 9, 9, 3, 9, 2, 8, 7, 0, 7, 7, 6, 4, 9, 8, 7, 5, 2, 2, 5, 1, 5, 3, 0, 3, 2, 2, 4, 7, 1, 2, 9, 0, 1, 7, 1, 2, 1, 8, 8, 2, 1, 7, 3, 4, 7, 6, 7, 3, 7, 6, 5, 0, 2, 9, 1, 3, 4, 5, 8, 1, 6, 1, 8, 9, 6, 8, 9, 2, 8, 0, 6, 8, 2, 1, 2, 2, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A130647.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A159896.

LINKS

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

FORMULA

Equals (1570 +727*sqrt(2))/(1570 -727*sqrt(2)).

Equals (3 +2*sqrt(2))*(29 -sqrt(2))^2/(29 +sqrt(2))^2.

EXAMPLE

(1760979+1141390*sqrt(2))/839^2 = 4.79478267867704892701...

MATHEMATICA

RealDigits[(1760979 +1141390*Sqrt[2])/839^2, 10, 100][[1]] (* G. C. Greubel, May 16 2018 *)

PROG

(PARI) (1760979 +1141390*sqrt(2))/839^2 \\ G. C. Greubel, May 16 2018

(Magma) (1760979 +1141390*Sqrt(2))/839^2; // G. C. Greubel, May 16 2018

CROSSREFS

Cf. A130647, A159896, A002193 (decimal expansion of sqrt(2)), A159897 (decimal expansion of (843+58*sqrt(2))/839).

Sequence in context: A299617 A201931 A201504 * A154160 A155065 A010479

Adjacent sequences: A159895 A159896 A159897 * A159899 A159900 A159901

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus, Apr 30 2009

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 8 03:48 EST 2022. Contains 358672 sequences. (Running on oeis4.)