A190953 a(n) = 8*a(n-1) + 10*a(n-2), with a(0)=0, a(1)=1.

0, 1, 8, 74, 672, 6116, 55648, 506344, 4607232, 41921296, 381442688, 3470754464, 31580462592, 287351245376, 2614614588928, 23790429165184, 216469579210752, 1969660925337856, 17921983194810368, 163072474811861504, 1483799630442995712, 13501121791662580736

Offset: 0

Author

Vladimir Joseph Stephan Orlovsky, May 24 2011

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (8,10).

Programs

Magma

I:=[0,1]; [n le 2 select I[n] else 8*Self(n-1) + 10*Self(n-2): n in [1..30]]; // G. C. Greubel, Jan 24 2018

Mathematica

LinearRecurrence[{8,10}, {0,1}, 50]

PARI

x='x+O('x^30); concat([0], Vec(x/(1-8*x-10*x^2))) \\ G. C. Greubel, Jan 24 2018

Formula

G.f.: x/(1 - 8*x - 10*x^2). - R. J. Mathar, Nov 21 2011