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Revision History for A108851

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A108851

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

#39 by Alois P. Heinz at Tue Apr 09 05:41:44 EDT 2024

STATUS

proposed

approved

#38 by Amiram Eldar at Tue Apr 09 01:31:02 EDT 2024

STATUS

editing

proposed

#37 by Amiram Eldar at Tue Apr 09 01:30:58 EDT 2024

CROSSREFS

Cf. A015530, A083098.

#36 by Amiram Eldar at Tue Apr 09 01:30:22 EDT 2024

CROSSREFS

Cf. A083098.

STATUS

proposed

editing

#35 by Michel Marcus at Tue Apr 09 00:51:11 EDT 2024

STATUS

editing

proposed

#34 by Michel Marcus at Tue Apr 09 00:51:06 EDT 2024

LINKS

<a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (4,3).

FORMULA

Lim_Limit_{k->infinityoo} a(n+k)/a(k) = A108851(n) + A015530(n)*sqrt(7); also lim_{n->infinityoo} A108851(n)/A015530(n) = sqrt(7). - Johannes W. Meijer, Aug 01 2010

STATUS

approved

editing

#33 by Charles R Greathouse IV at Thu Sep 08 08:45:19 EDT 2022

PROG

(MAGMAMagma) [Floor(((2 + Sqrt(7))^n + (2 - Sqrt(7))^n) / 2): n in [0..30]]; // Vincenzo Librandi, Jul 18 2011

Discussion

Thu Sep 08

08:45

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

#32 by Harvey P. Dale at Sun Jan 02 13:18:50 EST 2022

STATUS

editing

approved

#31 by Harvey P. Dale at Sun Jan 02 13:18:47 EST 2022

MATHEMATICA

LinearRecurrence[{4, 3}, {1, 2}, 30] (* Harvey P. Dale, Jan 02 2022 *)

STATUS

approved

editing

#30 by N. J. A. Sloane at Sat Dec 07 12:18:25 EST 2019

PROG

(Sage) [lucas_number2(n, 4, -3)/2 for n in xrangerange(0, 22)] # Zerinvary Lajos, May 14 2009

Discussion

Sat Dec 07

12:18

OEIS Server: https://oeis.org/edit/global/2837