|
Search: id:A015545
|
|
|
| A015545 |
|
Linear 2nd order recurrence. |
|
+0
1
|
|
| 0, 1, 5, 34, 215, 1381, 8840, 56629, 362705, 2323186, 14880275, 95310049, 610472720, 3910154041, 25045024685, 160416509794, 1027487771135, 6581187443821, 42153327159320, 269997322790989, 1729366558388825
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
FORMULA
|
a(n) = 5 a(n-1) + 9 a(n-2).
a(n)=(1/61)*sqrt(61)*{[(5/2)+(1/2)*sqrt(61)]^n-[(5/2)-(1/2)*sqrt(61)]^n}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jan 13 2009]
|
|
PROGRAM
|
(Other) sage: [lucas_number1(n, 5, -9) for n in xrange(0, 21)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]
|
|
CROSSREFS
|
Sequence in context: A076708 A127816 A024063 this_sequence A102436 A033889 A120469
Adjacent sequences: A015542 A015543 A015544 this_sequence A015546 A015547 A015548
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Olivier Gerard (olivier.gerard(AT)gmail.com)
|
|
|
Search completed in 0.002 seconds
|
