The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A160214

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A160214

Decimal expansion of (1947891+1218490*sqrt(2))/953^2.
(history; published version)

#14 by Charles R Greathouse IV at Thu Sep 08 08:45:44 EDT 2022

PROG

(MAGMAMagma) (1947891 +1218490*Sqrt(2))/953^2; // G. C. Greubel, Apr 08 2018

Discussion

Thu Sep 08

08:45

OEIS Server: https://oeis.org/edit/global/2944

#13 by Alois P. Heinz at Mon Apr 09 09:43:44 EDT 2018

STATUS

editing

approved

#12 by Alois P. Heinz at Mon Apr 09 09:43:40 EDT 2018

MAPLE

with(MmaTranslator[Mma]): Digits:=150:

RealDigits(evalf((1947891+1218490*sqrt(2))/953^2))[1]; # Muniru A Asiru, Apr 09 2018

STATUS

proposed

editing

#11 by Muniru A Asiru at Mon Apr 09 06:56:27 EDT 2018

STATUS

editing

proposed

#10 by Muniru A Asiru at Mon Apr 09 06:56:08 EDT 2018

MAPLE

with(MmaTranslator[Mma]): Digits:=150:

RealDigits(evalf((1947891+1218490*sqrt(2))/953^2))[1]; # Muniru A Asiru, Apr 09 2018

STATUS

proposed

editing

#9 by Michel Marcus at Mon Apr 09 01:32:09 EDT 2018

STATUS

editing

proposed

#8 by Michel Marcus at Mon Apr 09 01:32:04 EDT 2018

COMMENTS

Equals lim_{n -> infinity} b(n)/b(n-1) = (1947891+1218490*sqrt(2))/953^2 for n mod 3 = 0, b = A129975.

Equals lim_{n -> infinity} b(n)/b(n-1) = (1947891+1218490*sqrt(2))/953^2 for n mod 3 = 1, b = A160212.

FORMULA

Equals (1690+721*sqrt(2))/(1690-721*sqrt(2)).

Equals (1947891 +1218490*sqrt(2))/953^2 = (1690 +721*sqrt(2))/(1690 -721*sqrt(2)) = (3+2*sqrt(2))*(31-2*sqrt(2))^2/(31+2*sqrt(2))^2.

EXAMPLE

(1947891 +1218490*sqrt(2))/953^2 = 4.04212695934084840165...

STATUS

proposed

editing

#7 by G. C. Greubel at Mon Apr 09 01:14:28 EDT 2018

STATUS

editing

proposed

#6 by G. C. Greubel at Mon Apr 09 01:13:27 EDT 2018

NAME

Decimal expansion of (1947891 +1218490*sqrt(2))/953^2.

#5 by Michel Marcus at Mon Apr 09 00:51:46 EDT 2018

STATUS

proposed

editing