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A015564
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Expansion of x/(1-7x-6x^2).
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1
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0, 1, 7, 55, 427, 3319, 25795, 200479, 1558123, 12109735, 94116883, 731476591, 5685037435, 44184121591, 343399075747, 2668898259775, 20742682272907, 161212165468999, 1252941251920435, 9737861756257039, 75682679805321883
(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 (7,6).
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FORMULA
| a(n) = 7 a(n-1) + 6 a(n-2).
a(n)=(1/73)*[7/2+(1/2)*sqrt(73)]^n*sqrt(73)-(1/73)*sqrt(73)*[7/2-(1/2)*sqrt(73)]^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+6*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, -6) for n in xrange(0, 21)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]
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CROSSREFS
| Sequence in context: A069404 A198689 A172743 * A070997 A122372 A083068
Adjacent sequences: A015561 A015562 A015563 * A015565 A015566 A015567
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KEYWORD
| nonn,easy
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AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com)
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