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Search: id:A015457
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| A015457 |
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Generalized Fibonacci numbers. |
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+0
2
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| 1, 1, 12, 133, 1475, 16358, 181413, 2011901, 22312324, 247447465, 2744234439, 30434026294, 337518523673, 3743137786697, 41512034177340, 460375513737437, 5105642685289147, 56622445051918054
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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Tanya Khovanova, Recursive Sequences
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FORMULA
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a(n) = 11 a(n-1) + a(n-2).
a(n)=Sum_{k, 0<=k<=n}10^k*A055830(n,k) . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 18 2006
a(n)=(9/50)*[11/2-(5/2)*sqrt(5)]^n*sqrt(5)+(1/2)*[11/2-(5/2)*sqrt(5)]^n-(9/50)*sqrt(5)*[11/2+(5 /2)*sqrt(5)]^n+(1/2)*[11/2+(5/2)*sqrt(5)]^n, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jul 09 2008
G.f.: (1-10*x)/(1-11*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 21 2008]
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CROSSREFS
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Sequence in context: A120673 A120674 A016123 this_sequence A015469 A144785 A085938
Adjacent sequences: A015454 A015455 A015456 this_sequence A015458 A015459 A015460
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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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