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Search: id:A015547
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| A015547 |
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Linear 2nd order recurrence. |
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+0
1
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| 0, 1, 5, 36, 235, 1571, 10440, 69481, 462245, 3075516, 20462275, 136142051, 905795280, 6026538961, 40096442885, 266774142996, 1774931586715, 11809173506531, 78570114986520, 522751483504441, 3478028682373925
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n) = 5 a(n-1) + 11 a(n-2).
a(n)=(1/69)*sqrt(69)*[5/2+(1/2)*sqrt(69)]^n-(1/69)*[5/2-(1/2)*sqrt(69)]^n*sqrt(69), with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Aug 06 2008]
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PROGRAM
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(Other) sage: [lucas_number1(n, 5, -11) for n in xrange(0, 21)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]
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CROSSREFS
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Sequence in context: A063417 A109726 A048535 this_sequence A067376 A098305 A055270
Adjacent sequences: A015544 A015545 A015546 this_sequence A015548 A015549 A015550
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KEYWORD
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nonn,easy
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AUTHOR
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Olivier Gerard (olivier.gerard(AT)gmail.com)
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