A190560 a(n) = 8*a(n-1) + 6*a(n-2), with a(0)=0, a(1)=1.

0, 1, 8, 70, 608, 5284, 45920, 399064, 3468032, 30138640, 261917312, 2276170336, 19780866560, 171903954496, 1493916835328, 12982758409600, 112825568288768, 980501096767744, 8520962183874560, 74050704051602944, 643531405516070912, 5592555468438184960

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 (8,6).

Formula

G.f.: x/(1 - 8*x - 6*x^2). - R. J. Mathar, Nov 21 2011

Mathematica

LinearRecurrence[{8, 6}, {0, 1}, 50]
CoefficientList[Series[x/(1-8 x-6 x^2), {x, 0, 30}], x] (* Harvey P. Dale, May 06 2021 *)

Prog

(PARI) x='x+O('x^30); concat([0], Vec(x/(1-8*x-6*x^2))) \\ G. C. Greubel, Jan 15 2018
(Magma) I:=[0, 1]; [n le 2 select I[n] else 8*Self(n-1) + 6*Self(n-2): n in [1..30]]; // G. C. Greubel, Jan 15 2018

Crossrefs

Sequence in context: A124152 A293069 A056631 * A266361 A298281 A299355

Adjacent sequences: A190557 A190558 A190559 * A190561 A190562 A190563

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, May 24 2011

Status

approved