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A190560 a(n) = 8*a(n-1) + 6*a(n-2), with a(0)=0, a(1)=1. 4
0, 1, 8, 70, 608, 5284, 45920, 399064, 3468032, 30138640, 261917312, 2276170336, 19780866560, 171903954496, 1493916835328, 12982758409600, 112825568288768, 980501096767744, 8520962183874560, 74050704051602944, 643531405516070912, 5592555468438184960 (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 (8,6).

FORMULA

a(n) = (1/44)*sqrt(22)*((4+sqrt(22))^n -(4-sqrt(22))^n). -  Paolo P. Lava, Jun 01 2011

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

MATHEMATICA

LinearRecurrence[{8, 6}, {0, 1}, 50]

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

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Last modified October 15 05:56 EDT 2018. Contains 316202 sequences. (Running on oeis4.)