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Revision History for A015611 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
a(n) = 12*a(n-1) + 7*a(n-2).
(history; published version)
#30 by Joerg Arndt at Sat Dec 30 23:42:01 EST 2023
STATUS

editing

approved

#29 by Paolo P. Lava at Sat Dec 30 12:02:57 EST 2023
FORMULA

a(n) = (1/86)*sqrt(43)*((6+sqrt(43))^n - (6-sqrt(43))^n). - Paolo P. Lava, Jan 13 2009

STATUS

approved

editing

#28 by Charles R Greathouse IV at Thu Sep 08 08:44:40 EDT 2022
PROG

(MAGMAMagma) [n le 2 select n-1 else 12*Self(n-1) + 7*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Nov 22 2012

Discussion
Thu Sep 08
08:44
OEIS Server: https://oeis.org/edit/global/2944
#27 by N. J. A. Sloane at Sat Dec 07 12:18:20 EST 2019
PROG

(Sage) [lucas_number1(n, 12, -7) for n in xrangerange(0, 18)] # Zerinvary Lajos, Apr 29 2009

Discussion
Sat Dec 07
12:18
OEIS Server: https://oeis.org/edit/global/2837
#26 by N. J. A. Sloane at Sun Dec 31 01:38:58 EST 2017
STATUS

proposed

approved

#25 by Michel Marcus at Sun Dec 31 00:57:46 EST 2017
STATUS

editing

proposed

#24 by Michel Marcus at Sun Dec 31 00:57:42 EST 2017
MATHEMATICA

Join[{a=0, b=1}, Table[c=12*b+7*a; a=b; b=c, {n, 60}]] (* Vladimir Joseph Stephan Orlovsky, Jan 31 2011 *)

PROG

(Sage) [lucas_number1(n, 12, -7) for n in xrange(0, 18)] # [From __Zerinvary Lajos_, Apr 29 2009]

STATUS

proposed

editing

#23 by G. C. Greubel at Sat Dec 30 18:17:58 EST 2017
STATUS

editing

proposed

#22 by G. C. Greubel at Sat Dec 30 18:17:49 EST 2017
NAME

a(n) = 12 *a(n-1) + 7 *a(n-2).

LINKS

<a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (12,7).

FORMULA

a(n) = (1/86)*sqrt(43)*((6+sqrt(43))^n - (6-sqrt(43))^n). [_- _Paolo P. Lava_, Jan 13 2009]

PROG

(PARI) x='x+O('x^30); concat([0], Vec(x/(1-12*x-7*x^2))) \\ G. C. Greubel, Dec 30 2017

STATUS

approved

editing

#21 by Charles R Greathouse IV at Sat Jun 13 00:48:38 EDT 2015
LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (12,7).

Discussion
Sat Jun 13
00:48
OEIS Server: https://oeis.org/edit/global/2439