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A015529
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Expansion of x/(1-3x-11x^2).
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11
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0, 1, 3, 20, 93, 499, 2520, 13049, 66867, 344140, 1767957, 9089411, 46715760, 240130801, 1234265763, 6344236100, 32609631693, 167615492179, 861552425160, 4428427689449, 22762359745107, 116999783819260, 601385308653957, 3091153547973731
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OFFSET
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0,3
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index to sequences with linear recurrences with constant coefficients, signature (3,11).
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FORMULA
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a(n) = 3 a(n-1) + 11 a(n-2).
a(n)=-22^n*(A^n-B^n)/sqrt(53) where A=-1/(3+sqrt(53)) and B=1/(sqrt(53)-3) . - R. J. Mathar, Apr 29 2008
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MATHEMATICA
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Join[{a=0, b=1}, Table[c=3*b+11*a; a=b; b=c, {n, 100}]] (*From Vladimir Joseph Stephan Orlovsky, Jan 16 2011*)
LinearRecurrence[{3, 11}, {0, 1}, 30] (* Vincenzo Librandi, Nov 12 2012 *)
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PROG
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(Sage) [lucas_number1(n, 3, -11) for n in xrange(0, 22)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 22 2009]
(MAGMA) [n le 2 select n-1 else 3*Self(n-1) + 11*Self(n-2): n in [1..30] ]; // Vincenzo Librandi, Nov 12 2012
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CROSSREFS
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Sequence in context: A171673 A185065 A092786 * A000948 A165960 A074831
Adjacent sequences: A015526 A015527 A015528 * A015530 A015531 A015532
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KEYWORD
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nonn,easy
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AUTHOR
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Olivier Gérard
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STATUS
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approved
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