The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A321715

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A321715

a(n) = 3*a(n-1) + 4*a(n-2) + a(n-3), a(0) = 1, a(1) = -1, a(2) = -1 .
(history; published version)

#40 by Joerg Arndt at Wed Jan 16 11:14:38 EST 2019

STATUS

reviewed

approved

#39 by Michel Marcus at Wed Jan 16 10:05:59 EST 2019

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proposed

reviewed

#38 by Colin Barker at Wed Jan 16 09:49:43 EST 2019

STATUS

editing

proposed

#37 by Colin Barker at Wed Jan 16 09:49:07 EST 2019

LINKS

Colin Barker, <a href="/A321715/b321715.txt">Table of n, a(n) for n = 0..1000</a>

STATUS

approved

editing

#36 by N. J. A. Sloane at Tue Jan 15 20:20:58 EST 2019

STATUS

proposed

approved

#35 by Jon E. Schoenfield at Tue Jan 15 20:06:22 EST 2019

STATUS

editing

proposed

#34 by Jon E. Schoenfield at Tue Jan 15 20:06:19 EST 2019

COMMENTS

Then {X,Y,Z} are the roots of the cubic equation x^3 - 3 *x^2 - 4 *x - 1 = 0.

This sequence : (a, b, c) = (3, 4, 1), (u, v, w) = (1/(sqrt(7)*tan(8k)), 1/(sqrt(7)*tan(2k)), 1/(sqrt(7)*tan(4k))).

A321703 : (a, b, c) = (3, 4, 1), (u, v, w) = (1/(sqrt(7)*tan(4k)), 1/(sqrt(7)*tan(8k)), 1/(sqrt(7)*tan(2k))).

STATUS

proposed

editing

#33 by Michel Marcus at Tue Jan 15 11:00:12 EST 2019

STATUS

editing

proposed

#32 by Michel Marcus at Tue Jan 15 11:00:01 EST 2019

COMMENTS

Y = (sin(8k)*sin(2k))/(sin(4k)*sin(4k)),

Z = (sin(2k)*sin(4k))/(sin(8k)*sin(8k)).

STATUS

proposed

editing

#31 by Colin Barker at Tue Jan 15 10:46:56 EST 2019

STATUS

editing

proposed