|
Search: id:A015587
|
|
|
| A015587 |
|
Linear 2nd order recurrence. |
|
+0
1
|
|
| 0, 1, 9, 92, 927, 9355, 94392, 952433, 9610209, 96968644, 978430095, 9872525939, 99615464496, 1005136965793, 10142002801593, 102334531838060, 1032572817360063, 10418835206459227, 105127817849093736
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
FORMULA
|
a(n) = 9 a(n-1) + 11 a(n-2).
a(n)=-(1/25)*[9/2-(5/2)*sqrt(5)]^n*sqrt(5)+(1/25)*[9/2+(5/2)*sqrt(5)]^n*sqrt(5), with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Aug 06 2008]
G.f.:1/(1-9*x-11*x^2) . [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 20 2008]
|
|
PROGRAM
|
(Other) sage: [lucas_number1(n, 9, -11) for n in xrange(0, 19)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 26 2009]
|
|
CROSSREFS
|
Sequence in context: A022505 A164913 A007403 this_sequence A024117 A076456 A082724
Adjacent sequences: A015584 A015585 A015586 this_sequence A015588 A015589 A015590
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Olivier Gerard (olivier.gerard(AT)gmail.com)
|
|
|
Search completed in 0.002 seconds
|
