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Search: id:A015545
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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)

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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