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A190873 a(n) = 12*a(n-1) - 12*a(n-2), a(0)=0, a(1)=1. 5
0, 1, 12, 132, 1440, 15696, 171072, 1864512, 20321280, 221481216, 2413919232, 26309256192, 286744043520, 3125217447936, 34061680852992, 371237560860672, 4046110560092160, 44098475990777856, 480628385168228352, 5238358910129405952, 57092766299534131200 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (12, -12).

FORMULA

a(n) = 2^(n-2)*((3+sqrt(6))^n-(3-sqrt(6))^n)/sqrt(6).

G.f.: x/(1-12x+12x^2). - Philippe Deléham, Dec 21 2011

E.g.f.: (1/(2*sqrt(6)))*exp(6*x)*sinh(2*sqrt(6)*x). - G. C. Greubel, Dec 18 2015

MATHEMATICA

LinearRecurrence[{12, -12}, {0, 1}, 50] (* T. D. Noe, May 23 2011 *)

PROG

(PARI) concat(0, Vec(x/(1-12*x+12*x^2) + O(x^100))) \\ Altug Alkan, Dec 18 2015

CROSSREFS

Cf. A057086, A190871, A190872.

Sequence in context: A199941 A001336 A118475 * A097826 A010580 A010577

Adjacent sequences:  A190870 A190871 A190872 * A190874 A190875 A190876

KEYWORD

nonn

AUTHOR

Rolf Pleisch, May 22 2011

EXTENSIONS

Extended by T. D. Noe, May 23 2011

STATUS

approved

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Last modified April 23 06:08 EDT 2019. Contains 322381 sequences. (Running on oeis4.)