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Search: id:A015562
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| A015562 |
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Linear 2nd order recurrence. |
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+0
1
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| 0, 1, 7, 54, 413, 3161, 24192, 185149, 1417003, 10844766, 82998377, 635212469, 4861479168, 37206416521, 284752311487, 2179298263014, 16678849398533, 127648437104801, 976933306726272, 7476775332607909, 57222093861886723
(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) = 7 a(n-1) + 5 a(n-2).
a(n)=(1/69)*[7/2+(1/2)*sqrt(69)]^n*sqrt(69)-(1/69)*sqrt(69)*[7/2-(1/2)*sqrt(69)]^n, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 25 2008
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PROGRAM
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(Other) sage: [lucas_number1(n, 7, -5) 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: A116202 A081008 A116472 this_sequence A152108 A093742 A014509
Adjacent sequences: A015559 A015560 A015561 this_sequence A015563 A015564 A015565
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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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