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A015548
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Expansion of x/(1-5x-12x^2).
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3
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0, 1, 5, 37, 245, 1669, 11285, 76453, 517685, 3505861, 23741525, 160777957, 1088788085, 7373275909, 49931836565, 338138493733, 2289874507445, 15507034462021, 105013666399445, 711152745541477, 4815927724500725
(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 (5,12).
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FORMULA
| a(n) = 5 a(n-1) + 12 a(n-2).
a(n)=(1/73)*[5/2+(1/2)*sqrt(73)]^n*sqrt(73)-(1/73)*[5/2-(1/2)*sqrt(73)]^n*sqrt(73), with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Aug 06 2008]
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MATHEMATICA
| Join[{a=0, b=1}, Table[c=5*b+12*a; a=b; b=c, {n, 100}]] (*From Vladimir Joseph Stephan Orlovsky, Jan 16 2011*)
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PROG
| (Other) sage: [lucas_number1(n, 5, -12) for n in xrange(0, 21)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]
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CROSSREFS
| Equals 2*A099919 + 1.
Sequence in context: A088582 A088583 A202556 * A183385 A054417 A080507
Adjacent sequences: A015545 A015546 A015547 * A015549 A015550 A015551
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KEYWORD
| nonn,easy
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AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com)
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