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A126866 a(n) = 13*a(n-1) - a(n-2). 3
1, 14, 181, 2339, 30226, 390599, 5047561, 65227694, 842912461, 10892634299, 140761333426, 1819004700239, 23506299769681, 303762892305614, 3925411300203301, 50726584010337299, 655520180834181586, 8471035766834023319, 109467944788008121561 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..899

Index entries for linear recurrences with constant coefficients, signature (13, -1).

FORMULA

a(n) = 13*a(n-1) - a(n-2); a(0)=1, a(1)=14

G.f.: (x+1)/(x^2-13*x+1). - Harvey P. Dale, Mar 28 2013

MATHEMATICA

LinearRecurrence[{13, -1}, {1, 14}, 30] (* Harvey P. Dale, Mar 28 2013 *)

PROG

(Sage) [(lucas_number2(n, 13, 1)-lucas_number2(n-1, 13, 1))/11 for n in xrange(1, 16)] # Zerinvary Lajos, Nov 10 2009

CROSSREFS

Cf. A002878, A001834, A030221, A002315.

Sequence in context: A274565 A125471 A132010 * A230055 A133286 A163416

Adjacent sequences:  A126863 A126864 A126865 * A126867 A126868 A126869

KEYWORD

easy,nonn

AUTHOR

Diego A. Penta (diego(AT)alum.mit.edu), Mar 15 2007

EXTENSIONS

Corrected and extended by Harvey P. Dale, Mar 28 2013

STATUS

approved

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Last modified August 16 06:22 EDT 2018. Contains 313782 sequences. (Running on oeis4.)