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A015529 Expansion of x/(1 - 3*x - 11*x^2). 11
0, 1, 3, 20, 93, 499, 2520, 13049, 66867, 344140, 1767957, 9089411, 46715760, 240130801, 1234265763, 6344236100, 32609631693, 167615492179, 861552425160, 4428427689449, 22762359745107, 116999783819260, 601385308653957, 3091153547973731 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (3,11).

FORMULA

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

MATHEMATICA

Join[{a=0, b=1}, Table[c=3*b+11*a; a=b; b=c, {n, 100}]] (* Vladimir Joseph Stephan Orlovsky, Jan 16 2011 *)

LinearRecurrence[{3, 11}, {0, 1}, 30] (* Vincenzo Librandi, Nov 12 2012 *)

PROG

(Sage) [lucas_number1(n, 3, -11) for n in xrange(0, 22)] # Zerinvary Lajos, 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

(PARI) x='x+O('x^30); concat([0], Vec(x/(1-3*x-11*x^2))) \\ G. C. Greubel, Jan 01 2018

CROSSREFS

Sequence in context: A185065 A227811 A092786 * A278319 A305203 A246150

Adjacent sequences:  A015526 A015527 A015528 * A015530 A015531 A015532

KEYWORD

nonn,easy

AUTHOR

Olivier Gérard

STATUS

approved

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Last modified October 14 14:06 EDT 2019. Contains 328017 sequences. (Running on oeis4.)