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Search: id:A015570
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| A015570 |
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Linear 2nd order recurrence. |
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+0
1
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| 0, 1, 7, 60, 497, 4139, 34440, 286609, 2385103, 19848420, 165175073, 1374558131, 11438832720, 95191968481, 792170939287, 6592308228300, 54860037930257, 456535656023099, 3799210009394520, 31616362282015729
(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) + 11 a(n-2).
a(n)=(1/93)*[7/2+(1/2)*sqrt(93)]^n*sqrt(93)-(1/93)*[7/2-(1/2)*sqrt(93)]^n*sqrt(93), with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 25 2008
G.f.:1/(1-7*x-11*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, -11) 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: A077409 A099347 A063969 this_sequence A024090 A156545 A157871
Adjacent sequences: A015567 A015568 A015569 this_sequence A015571 A015572 A015573
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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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