The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A159628

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A159628

Decimal expansion of (855171 + 556990*sqrt(2))/577^2.
(history; published version)

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

PROG

(MAGMAMagma) (855171+556990*Sqrt(2))/577^2; // G. C. Greubel, May 10 2018

Discussion

Thu Sep 08

08:45

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

#11 by Susanna Cuyler at Fri May 11 07:45:25 EDT 2018

STATUS

proposed

approved

#10 by Jon E. Schoenfield at Fri May 11 02:20:28 EDT 2018

STATUS

editing

proposed

#9 by Jon E. Schoenfield at Fri May 11 02:20:25 EDT 2018

NAME

Decimal expansion of (855171 + 556990*sqrt(2))/577^2.

FORMULA

Equals (2180 + 1022*sqrt(2))/(2180 - 1022*sqrt(2)).

Equals (3 + 2*sqrt(2))*(34 - sqrt(2))^2/(34 + sqrt(2))^2.

EXAMPLE

(855171 + 556990*sqrt(2))/577^2 = 4.93460711474876088064...

STATUS

proposed

editing

#8 by Michel Marcus at Fri May 11 01:04:47 EDT 2018

STATUS

editing

proposed

#7 by Michel Marcus at Fri May 11 01:04:44 EDT 2018

COMMENTS

Equals lim_{n -> infinity} b(n)/b(n-1) = (855171+556990*sqrt(2))/577^2 for n mod 3 = 0, b = A130005.

Equals lim_{n -> infinity} b(n)/b(n-1) = (855171+556990*sqrt(2))/577^2 for n mod 3 = 1, b = A159626.

STATUS

proposed

editing

#6 by G. C. Greubel at Fri May 11 00:58:01 EDT 2018

STATUS

editing

proposed

#5 by G. C. Greubel at Fri May 11 00:57:52 EDT 2018

LINKS

G. C. Greubel, <a href="/A159628/b159628.txt">Table of n, a(n) for n = 1..10000</a>

FORMULA

(855171+556990*sqrt(2))/577^2 = Equals (2180+1022*sqrt(2))/(2180-1022*sqrt(2)).

= Equals (3+2*sqrt(2))*(34-sqrt(2))^2/(34+sqrt(2))^2.

PROG

(PARI) (855171+556990*sqrt(2))/577^2 \\ G. C. Greubel, May 10 2018

(MAGMA) (855171+556990*Sqrt(2))/577^2; // G. C. Greubel, May 10 2018

STATUS

approved

editing

#4 by Harvey P. Dale at Wed Aug 15 08:37:19 EDT 2012

STATUS

editing

approved

#3 by Harvey P. Dale at Wed Aug 15 08:37:16 EDT 2012

MATHEMATICA

RealDigits[(855171+556990Sqrt[2])/577^2, 10, 120][[1]] (* Harvey P. Dale, Aug 15 2012 *)

STATUS

approved

editing