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Search: id:A015603
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| A015603 |
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a(n) = 11 a(n-1) + 9 a(n-2). |
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+0
1
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| 0, 1, 11, 130, 1529, 17989, 211640, 2489941, 29294111, 344644690, 4054738589, 47703926689, 561235840880, 6602929589881, 77683348056611, 913943194931650, 10752525276757649, 126503266798718989
(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)=-(1/157)*sqrt(157)*[11/2-(1/2)*sqrt(157)]^n+(1/157)*sqrt(157)*[11/2+(1/2)*sqrt(157)]^n, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jul 09 2008
G.f.:1/(1-11*x-9*x^2) . [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 27 2009]
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PROGRAM
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(Other) sage: [lucas_number1(n, 11, -9) for n in xrange(0, 18)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 27 2009]
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CROSSREFS
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Sequence in context: A015601 A024144 A015602 this_sequence A157718 A046210 A100757
Adjacent sequences: A015600 A015601 A015602 this_sequence A015604 A015605 A015606
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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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