|
Search: id:A015566
|
|
|
| A015566 |
|
Linear 2nd order recurrence. |
|
+0
1
|
|
| 0, 1, 7, 58, 469, 3805, 30856, 250237, 2029363, 16457674, 133467985, 1082394961, 8777976592, 71187390793, 577313524879, 4681881191290, 37968990062941, 307919861162197, 2497159938701848, 20251398321372709
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
FORMULA
|
a(n) = 7 a(n-1) + 9 a(n-2).
a(n)=-(1/85)*[7/2-(1/2)*sqrt(85)]^n*sqrt(85)+(1/85)*sqrt(85)*[7/2+(1/2)*sqrt(85)]^n, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 25 2008
G.f.: 1/(1-7*x-9*x^2) . [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 20 2008]
|
|
PROGRAM
|
(Other) sage: [lucas_number1(n, 7, -9) for n in xrange(0, 20)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]
|
|
CROSSREFS
|
Sequence in context: A122649 A051846 A051816 this_sequence A006193 A139397 A081343
Adjacent sequences: A015563 A015564 A015565 this_sequence A015567 A015568 A015569
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Olivier Gerard (olivier.gerard(AT)gmail.com)
|
|
|
Search completed in 0.002 seconds
|
