|
| |
|
|
A014882
|
|
a(1)=1, a(n)=12*a(n-1)+n.
|
|
2
|
|
|
|
1, 14, 171, 2056, 24677, 296130, 3553567, 42642812, 511713753, 6140565046, 73686780563, 884241366768, 10610896401229, 127330756814762, 1527969081777159, 18335628981325924, 220027547775911105, 2640330573310933278, 31683966879731199355
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
LINKS
|
Vincenzo Librandi, Table of n, a(n) for n = 1..200
Index to sequences with linear recurrences with constant coefficients, signature (14, -25, 12).
|
|
|
FORMULA
|
a(n)=-12/121+12/121*12^n-1/11*n, with n>=1 [From Paolo P. Lava, Jan 14 2009]
a(1)=1, a(2)=14, a(3)=171, a(n)=14*a(n-1)-25*a(n-2)+12*a(n-3). Vincenzo Librandi, Oct 20 2012
|
|
|
MAPLE
|
a:=n->sum((12^(n-j)-1^(n-j))/11, j=0..n): seq(a(n), n=1..17); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 12 2007
a := n-> (Matrix ([[1, 0, 1], [1, 1, 1], [0, 0, 12]])^n)[2, 3]; seq(a(n), n=1..17); [From Alois P. Heinz, Aug 06 2008]
|
|
|
MATHEMATICA
|
LinearRecurrence[{14, -25, 12}, {1, 14, 171}, 201] (* Vincenzo Librandi, Oct 20 2012 *)
|
|
|
PROG
|
(MAGMA) I:=[1, 14, 171]; [n le 3 select I[n] else 14*Self(n-1) - 25*Self(n-2)+ 12*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Oct 20 2012
|
|
|
CROSSREFS
|
Sequence in context: A199529 A098299 A099158 * A048443 A191690 A016136
Adjacent sequences: A014879 A014880 A014881 * A014883 A014884 A014885
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
N. J. A. Sloane, Olivier Gérard
|
|
|
STATUS
|
approved
|
| |
|
|
