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Search: id:A015568
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| A015568 |
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Linear 2nd order recurrence. |
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+0
1
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| 0, 1, 7, 59, 483, 3971, 32627, 268099, 2202963, 18101731, 148741747, 1222209539, 10042884243, 82522285091, 678084838067, 5571816717379, 45783565402323, 376203124990051, 3091257528953587, 25400833952575619
(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) + 10 a(n-2).
a(n)=-(1/89)*[7/2-(1/2)*sqrt(89)]^n*sqrt(89)+(1/89)*sqrt(89)*[7/2+(1/2)*sqrt(89)]^n, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 25 2008
G.f.:1/(1-7*x-10*x^2) . [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 20 2008]
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PROGRAM
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(Other) sage: [lucas_number1(n, 7, -10) for n in xrange(0, 20)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]
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CROSSREFS
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Sequence in context: A140371 A142511 A059705 this_sequence A101487 A099659 A135150
Adjacent sequences: A015565 A015566 A015567 this_sequence A015569 A015570 A015571
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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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