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A015570
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Expansion of x/(1-7x-11x^2).
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0
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0, 1, 7, 60, 497, 4139, 34440, 286609, 2385103, 19848420, 165175073, 1374558131, 11438832720, 95191968481, 792170939287, 6592308228300, 54860037930257, 456535656023099, 3799210009394520, 31616362282015729
(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 (7,11).
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FORMULA
| a(n) = 7 a(n-1) + 11 a(n-2).
a(n)=(1/93)*[7/2+(1/2)*sqrt(93)]^n*sqrt(93)-(1/93)*[7/2-(1/2)*sqrt(93)]^n*sqrt(93), with n>=0 - Paolo P. Lava (paoloplava(AT)gmail.com), Jun 25 2008
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MATHEMATICA
| a[n_]:=(MatrixPower[{{1, 3}, {1, -8}}, n].{{1}, {1}})[[2, 1]]; Table[Abs[a[n]], {n, -1, 40}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Feb 19 2010]
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PROG
| (Other) sage: [lucas_number1(n, 7, -11) for n in xrange(0, 20)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]
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CROSSREFS
| Sequence in context: A203174 A183260 A063969 * A024090 A156545 A157871
Adjacent sequences: A015567 A015568 A015569 * A015571 A015572 A015573
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KEYWORD
| nonn,easy
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AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com)
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