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Search: id:A015598
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| A015598 |
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a(n) = 11 a(n-1) + 6 a(n-2). |
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+0
1
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| 0, 1, 11, 127, 1463, 16855, 194183, 2237143, 25773671, 296933239, 3420907655, 39411583639, 454052865959, 5231051027383, 60265878496967, 694310969630935, 7999015936922087, 92155041123928567
(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)=-(1/145)*sqrt(145)*[11/2-(1/2)*sqrt(145)]^n+(1/145)*sqrt(145)*[11/2+(1/2)*sqrt(145)]^n, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jul 09 2008
G.f.:1/(1-11*x-6*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, -6) 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: A053546 A084975 A065543 this_sequence A015601 A024144 A015602
Adjacent sequences: A015595 A015596 A015597 this_sequence A015599 A015600 A015601
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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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