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A190872
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a(n) = 11*a(n-1) - 9*a(n-2), a(0)=0, a(1)=1
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2
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0, 1, 11, 112, 1133, 11455, 115808, 1170793, 11836451, 119663824, 1209774005, 12230539639, 123647969984, 1250052813073, 12637749213947, 127764766035760, 1291672683467837, 13058516623824367, 132018628710857504, 1334678266205013241, 13493293269857428115
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..20.
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FORMULA
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a(n) = ((11+sqrt(85))^n-(11-sqrt(85))^n)/(2^n*sqrt(85)).
G.f.: x/(1-11*x+9*x^2). - Philippe Deléham, Feb 12 2012
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MATHEMATICA
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LinearRecurrence[{11, -9}, {0, 1}, 50] (* T. D. Noe, May 23 2011 *)
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CROSSREFS
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Sequence in context: A059996 A132938 A056618 * A024145 A053055 A024148
Adjacent sequences: A190869 A190870 A190871 * A190873 A190874 A190875
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KEYWORD
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nonn
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AUTHOR
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Rolf Pleisch, May 22 2011
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EXTENSIONS
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Extended by T. D. Noe, May 23 2011
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STATUS
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approved
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