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A015562
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Expansion of x/(1-7x-5x^2).
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1
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0, 1, 7, 54, 413, 3161, 24192, 185149, 1417003, 10844766, 82998377, 635212469, 4861479168, 37206416521, 284752311487, 2179298263014, 16678849398533, 127648437104801, 976933306726272, 7476775332607909, 57222093861886723
(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 (7,5)
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FORMULA
| a(n) = 7 a(n-1) + 5 a(n-2).
a(n)=(1/69)*[7/2+(1/2)*sqrt(69)]^n*sqrt(69)-(1/69)*sqrt(69)*[7/2-(1/2)*sqrt(69)]^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+5*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, -5) for n in xrange(0, 21)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]
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CROSSREFS
| Sequence in context: A204258 A081008 A116472 * A152108 A093742 A014509
Adjacent sequences: A015559 A015560 A015561 * A015563 A015564 A015565
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KEYWORD
| nonn,easy
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AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com)
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