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Search: id:A015587
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A015587 Linear 2nd order recurrence. +0
1
0, 1, 9, 92, 927, 9355, 94392, 952433, 9610209, 96968644, 978430095, 9872525939, 99615464496, 1005136965793, 10142002801593, 102334531838060, 1032572817360063, 10418835206459227, 105127817849093736 (list; graph; listen)
OFFSET

0,3

FORMULA

a(n) = 9 a(n-1) + 11 a(n-2).

a(n)=-(1/25)*[9/2-(5/2)*sqrt(5)]^n*sqrt(5)+(1/25)*[9/2+(5/2)*sqrt(5)]^n*sqrt(5), with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Aug 06 2008]

G.f.:1/(1-9*x-11*x^2) . [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 20 2008]

PROGRAM

(Other) sage: [lucas_number1(n, 9, -11) for n in xrange(0, 19)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 26 2009]

CROSSREFS

Sequence in context: A022505 A164913 A007403 this_sequence A024117 A076456 A082724

Adjacent sequences: A015584 A015585 A015586 this_sequence A015588 A015589 A015590

KEYWORD

nonn,easy

AUTHOR

Olivier Gerard (olivier.gerard(AT)gmail.com)

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.


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