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2, 14, 122, 1094, 9842, 88574, 797162, 7174454, 64570082, 581130734, 5230176602, 47071589414, 423644304722, 3812798742494, 34315188682442, 308836698141974, 2779530283277762, 25015772549499854, 225141952945498682
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (10,-9).
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FORMULA
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a(n) = 2*A066443(n).
a(n) = 9*a(n-1)-4.
a(n) = 10*a(n-1)-9*a(n-2).
G.f.: 2*(1-3*x)/((1-x)*(1-9*x)).
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MATHEMATICA
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LinearRecurrence[{10, -9}, {2, 14}, 30] (* or *) NestList[9#-4&, 2, 30] (* Harvey P. Dale, May 30 2012 *)
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PROG
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(MAGMA) [(3*9^n+1)/2: n in [0..30]];
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CROSSREFS
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Sequence in context: A351856 A155728 A267906 * A283184 A319536 A060468
Adjacent sequences: A199557 A199558 A199559 * A199561 A199562 A199563
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KEYWORD
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nonn,easy
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AUTHOR
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Vincenzo Librandi, Nov 08 2011
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STATUS
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approved
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