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A015603 a(n) = 11*a(n-1) + 9*a(n-2). 2
0, 1, 11, 130, 1529, 17989, 211640, 2489941, 29294111, 344644690, 4054738589, 47703926689, 561235840880, 6602929589881, 77683348056611, 913943194931650, 10752525276757649, 126503266798718989, 1488308662276727720, 17509924686232475821 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..900

Index entries for linear recurrences with constant coefficients, signature (11,9).

FORMULA

a(n) = -(1/157)*sqrt(157)*(11/2 - (1/2)*sqrt(157))^n + (1/157)*sqrt(157)*(11/2 + (1/2)*sqrt(157))^n. - Paolo P. Lava, Jul 09 2008

G.f.: x/(1 - 11*x - 9*x^2). - Zerinvary Lajos, Apr 27 2009

MATHEMATICA

Join[{a=0, b=1}, Table[c=11*b+9*a; a=b; b=c, {n, 60}]] (* Vladimir Joseph Stephan Orlovsky, Jan 31 2011 *)

LinearRecurrence[{11, 9}, {0, 1}, 30] (* Vincenzo Librandi, Nov 22 2012 *)

PROG

(Sage) [lucas_number1(n, 11, -9) for n in xrange(0, 18)] # Zerinvary Lajos, Apr 27 2009

(MAGMA) [n le 2 select n-1 else 11*Self(n-1) + 9*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Nov 22 2012

(PARI) x='x+O('x^30); concat([0], Vec(x/(1-11*x-9*x^2))) \\ G. C. Greubel, Jan 16 2018

CROSSREFS

Sequence in context: A015602 A259507 A183837 * A184280 A266947 A157718

Adjacent sequences:  A015600 A015601 A015602 * A015604 A015605 A015606

KEYWORD

nonn,easy

AUTHOR

Olivier Gérard

EXTENSIONS

G.f. adapted to the offset by Vincenzo Librandi, Nov 22 2012

STATUS

approved

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Last modified October 21 11:04 EDT 2018. Contains 316414 sequences. (Running on oeis4.)