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A015587
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Expansion of x/(1-9x-11x^2)
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0
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0, 1, 9, 92, 927, 9355, 94392, 952433, 9610209, 96968644, 978430095, 9872525939, 99615464496, 1005136965793, 10142002801593, 102334531838060, 1032572817360063, 10418835206459227, 105127817849093736
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (9,11).
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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 (paoloplava(AT)gmail.com), Aug 06 2008]
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MATHEMATICA
| Join[{a=0, b=1}, Table[c=9*b+11*a; a=b; b=c, {n, 40}]] (*From Vladimir Joseph Stephan Orlovsky, Mar 29 2011*)
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PROG
| (Other) sage: [lucas_number1(n, 9, -11) for n in xrange(0, 19)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 26 2009]
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CROSSREFS
| Sequence in context: A022505 A164913 A007403 * A024117 A076456 A082724
Adjacent sequences: A015584 A015585 A015586 * A015588 A015589 A015590
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KEYWORD
| nonn,easy
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AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com)
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