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Search: id:A015576
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| A015576 |
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Linear 2nd order recurrence. |
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+0
1
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| 0, 1, 8, 71, 624, 5489, 48280, 424663, 3735264, 32854753, 288984872, 2541862247, 22357792080, 196655372369, 1729747523512, 15214567794679, 133824775022016, 1177100174738881, 10353574823065160, 91068299807693447
(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) = 8 a(n-1) + 7 a(n-2).
a(n)=(1/46)*[4+sqrt(23)]^n*sqrt(23)-(1/46)*[4-sqrt(23)]^n*sqrt(23), 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, 8, -7) for n in xrange(0, 20)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 25 2009]
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CROSSREFS
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Sequence in context: A043086 A003364 A038145 this_sequence A070998 A152265 A081178
Adjacent sequences: A015573 A015574 A015575 this_sequence A015577 A015578 A015579
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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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