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A015568
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Expansion of x/(1-7x-10x^2).
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1
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0, 1, 7, 59, 483, 3971, 32627, 268099, 2202963, 18101731, 148741747, 1222209539, 10042884243, 82522285091, 678084838067, 5571816717379, 45783565402323, 376203124990051, 3091257528953587, 25400833952575619
(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 (7,10)
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FORMULA
| a(n) = 7 a(n-1) + 10 a(n-2).
a(n)=-(1/89)*[7/2-(1/2)*sqrt(89)]^n*sqrt(89)+(1/89)*sqrt(89)*[7/2+(1/2)*sqrt(89)]^n, with n>=0 - Paolo P. Lava (paoloplava(AT)gmail.com), Jun 25 2008
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MATHEMATICA
| Join[{a=0, b=1}, Table[c=7*b+10*a; a=b; b=c, {n, 100}]] (*From Vladimir Joseph Stephan Orlovsky, Jan 17 2011*)
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PROG
| (Other) sage: [lucas_number1(n, 7, -10) for n in xrange(0, 20)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]
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CROSSREFS
| Sequence in context: A181424 A142511 A059705 * A101487 A099659 A135150
Adjacent sequences: A015565 A015566 A015567 * A015569 A015570 A015571
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KEYWORD
| nonn,easy
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AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com)
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