|
| |
|
|
A015547
|
|
Expansion of x/(1-5x-11x^2).
|
|
0
| |
|
|
0, 1, 5, 36, 235, 1571, 10440, 69481, 462245, 3075516, 20462275, 136142051, 905795280, 6026538961, 40096442885, 266774142996, 1774931586715, 11809173506531, 78570114986520, 522751483504441, 3478028682373925
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (5,11)
|
|
|
FORMULA
| a(n) = 5 a(n-1) + 11 a(n-2).
a(n)=(1/69)*sqrt(69)*[5/2+(1/2)*sqrt(69)]^n-(1/69)*[5/2-(1/2)*sqrt(69)]^n*sqrt(69), with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Aug 06 2008]
|
|
|
MATHEMATICA
| a[n_]:=(MatrixPower[{{1, 5}, {1, -6}}, n].{{1}, {1}})[[2, 1]]; Table[Abs[a[n]], {n, -1, 40}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Feb 20 2010]
CoefficientList[Series[x/(1-5x-11x^2), {x, 0, 30}], x] (* or *) LinearRecurrence[ {5, 11}, {0, 1}, 30] (* From Harvey P. Dale, Dec 15 2011 *)
|
|
|
PROG
| (Other) sage: [lucas_number1(n, 5, -11) for n in xrange(0, 21)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]
|
|
|
CROSSREFS
| Sequence in context: A109726 A196714 A048535 * A067376 A098305 A055270
Adjacent sequences: A015544 A015545 A015546 * A015548 A015549 A015550
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com)
|
| |
|
|
