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Revision History for A146311 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
a(n) = cos(2*n*arcsin(sqrt(3))) = (-1)^n*cosh(2*n*arcsinh(sqrt(2))).
(history; published version)
#19 by Andrey Zabolotskiy at Thu Dec 28 19:34:15 EST 2023
STATUS

editing

approved

#18 by Andrey Zabolotskiy at Thu Dec 28 19:34:11 EST 2023
NAME

a(n) = cos(2*n*arcsin(sqrt(3)) ) = (-1)^n*cosh(2*n*arcsinh(sqrt(2))).

STATUS

approved

editing

#17 by Joerg Arndt at Mon Jul 03 02:09:15 EDT 2017
STATUS

reviewed

approved

#16 by Michel Marcus at Mon Jul 03 00:51:22 EDT 2017
STATUS

proposed

reviewed

#15 by G. C. Greubel at Sun Jul 02 14:35:49 EDT 2017
STATUS

editing

proposed

#14 by G. C. Greubel at Sun Jul 02 14:34:32 EDT 2017
LINKS

G. C. Greubel, <a href="/A146311/b146311.txt">Table of n, a(n) for n = 0..1000</a>

FORMULA

a(n) = (-1)^n * A001079(n).

a(n) = ((-5-2*sqrt(6))^n + (-5+2*sqrt(6))^n)/2.

MATHEMATICA

CoefficientList[Series[(5*x + 1)/(x^2 + 10*x + 1), {x, 0, 50}], x] (* G. C. Greubel, Jul 02 2017 *)

STATUS

approved

editing

#13 by Charles R Greathouse IV at Sat Jun 13 00:52:43 EDT 2015
LINKS

<a href="/index/Rec#order_02">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (-10,-1).

Discussion
Sat Jun 13
00:52
OEIS Server: https://oeis.org/edit/global/2439
#12 by Michel Marcus at Sun Oct 26 11:37:41 EDT 2014
STATUS

reviewed

approved

#11 by Joerg Arndt at Sun Oct 26 11:32:56 EDT 2014
STATUS

proposed

reviewed

#10 by Michel Marcus at Sun Oct 26 11:08:39 EDT 2014
STATUS

editing

proposed

Discussion
Sun Oct 26
11:32
Joerg Arndt: Yes; thanks for rewording the comment!