|
| |
|
|
A015598
|
|
a(n) = 11 a(n-1) + 6 a(n-2).
|
|
0
| |
|
|
0, 1, 11, 127, 1463, 16855, 194183, 2237143, 25773671, 296933239, 3420907655, 39411583639, 454052865959, 5231051027383, 60265878496967, 694310969630935, 7999015936922087, 92155041123928567
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
FORMULA
| a(n)=-(1/145)*sqrt(145)*[11/2-(1/2)*sqrt(145)]^n+(1/145)*sqrt(145)*[11/2+(1/2)*sqrt(145)]^n, with n>=0 - Paolo P. Lava (paoloplava(AT)gmail.com), Jul 09 2008
G.f.:1/(1-11*x-6*x^2) . [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 27 2009]
|
|
|
MATHEMATICA
| Join[{a=0, b=1}, Table[c=11*b+6*a; a=b; b=c, {n, 60}]] (*From Vladimir Joseph Stephan Orlovsky, Jan 31 2011*)
|
|
|
PROG
| (Other) sage: [lucas_number1(n, 11, -6) for n in xrange(0, 18)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 27 2009]
|
|
|
CROSSREFS
| Sequence in context: A053546 A084975 A065543 * A181012 A168327 A015601
Adjacent sequences: A015595 A015596 A015597 * A015599 A015600 A015601
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com)
|
| |
|
|
