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A015566
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Expansion of x/(1-7x-9x^2).
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1
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0, 1, 7, 58, 469, 3805, 30856, 250237, 2029363, 16457674, 133467985, 1082394961, 8777976592, 71187390793, 577313524879, 4681881191290, 37968990062941, 307919861162197, 2497159938701848, 20251398321372709
(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 (7,9).
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FORMULA
| a(n) = 7 a(n-1) + 9 a(n-2).
a(n)=-(1/85)*[7/2-(1/2)*sqrt(85)]^n*sqrt(85)+(1/85)*sqrt(85)*[7/2+(1/2)*sqrt(85)]^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+9*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, -9) for n in xrange(0, 20)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]
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CROSSREFS
| Sequence in context: A051846 A202975 A051816 * A006193 A139397 A194724
Adjacent sequences: A015563 A015564 A015565 * A015567 A015568 A015569
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KEYWORD
| nonn,easy
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AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com)
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