A190956 a(n) = 10*a(n-1) + 6*a(n-2), with a(0)=0, a(1)=1.

0, 1, 10, 106, 1120, 11836, 125080, 1321816, 13968640, 147617296, 1559984800, 16485551776, 174215426560, 1841067576256, 19455968321920, 205606088676736, 2172796696698880, 22961603499049216, 242652815170685440, 2564297772701149696, 27098894618035609600

Offset: 0

Author

Vladimir Joseph Stephan Orlovsky, May 24 2011

Keywords

• nonn
• easy

Links

• G. C. Greubel, Table of n, a(n) for n = 0..970
• Index entries for linear recurrences with constant coefficients, signature (10,6).

Programs

Magma

I:=[0,1]; [n le 2 select I[n] else 10*Self(n-1) + 6*Self(n-2): n in [1..30]]; G. C. Greubel, Jan 25 2018

Mathematica

LinearRecurrence[{10,6}, {0,1}, 50]

PARI

x='x+O('x^30); concat([0], Vec(x/(1-10*x-6*x^2))) \\ G. C. Greubel, Jan 25 2018

Formula

G.f.: x/(1 - 10*x - 6*x^2). - R. J. Mathar, Jun 01 2011