A165150 a(n) = (3*10^n - 6^n)/2.

1, 12, 132, 1392, 14352, 146112, 1476672, 14860032, 149160192, 1494961152, 14969766912, 149818601472, 1498911608832, 14993469652992, 149960817917952, 1499764907507712, 14998589445046272, 149991536670277632, 1499949220021665792, 14999695320129994752, 149998171920779968512

Offset: 0

Author

Klaus Brockhaus, Sep 15 2009

Keywords

• nonn
• easy

Comments

Binomial transform of A165149. Inverse binomial transform of A165151.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200
• Index entries for linear recurrences with constant coefficients, signature (16,-60).

Crossrefs

Cf. A165149, A165151.

Programs

Magma

[ (3*10^n-6^n)/2: n in [0..17] ];

Formula

a(n) = 16*a(n-1) - 60*a(n-2) for n > 1; a(0) = 1, a(1) = 12.

G.f.: (1 - 4*x)/((1 - 6*x)*(1 - 10*x)).

E.g.f.: exp(6*x)*(3*exp(4*x) - 1)/2. - Stefano Spezia, Mar 21 2023