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A015584
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Expansion of x/(1-9x-8x^2)
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1
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0, 1, 9, 89, 873, 8569, 84105, 825497, 8102313, 79524793, 780541641, 7661073113, 75193991145, 738034505209, 7243862476041, 71099038326041, 697842244742697, 6849372509292601, 67227090541574985, 659838794948515673, 6476365878869240937, 63566003269411293817
(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 (9,8).
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FORMULA
| a(n) = 9 a(n-1) + 8 a(n-2).
a(n)=-(1/113)*sqrt(113)*[9/2-(1/2)*sqrt(113)]^n+(1/113)*sqrt(113)*[9/2+(1/2)*sqrt(113)]^n, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Aug 05 2008]
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MATHEMATICA
| Join[{a=0, b=1}, Table[c=9*b+8*a; a=b; b=c, {n, 60}]] (*From Vladimir Joseph Stephan Orlovsky, Jan 27 2011*)
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PROG
| (Other) sage: [lucas_number1(n, 9, -8) for n in xrange(0, 19)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 26 2009]
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CROSSREFS
| Cf. A015579, A099371.
Sequence in context: A064616 A133486 A198967 * A072256 A138288 A059482
Adjacent sequences: A015581 A015582 A015583 * A015585 A015586 A015587
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KEYWORD
| nonn,easy
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AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com)
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EXTENSIONS
| Extended by T. D. Noe (noe(AT)sspectra.com), May 23 2011
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