A083234 a(n) = (3*10^n + 2^n)/4.

1, 8, 76, 752, 7504, 75008, 750016, 7500032, 75000064, 750000128, 7500000256, 75000000512, 750000001024, 7500000002048, 75000000004096, 750000000008192, 7500000000016384, 75000000000032768, 750000000000065536

Offset: 0

Author

Paul Barry, Apr 23 2003

Keywords

• easy
• nonn

Comments

Binomial transform of A066443.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..300
• Index entries for linear recurrences with constant coefficients, signature (12,-20).

Crossrefs

Cf. A066443, A082724.

Programs

Magma

[(3*10^n+2^n)/4: n in [0..25]]; // Vincenzo Librandi, Jun 29 2011

Mathematica

Table[(3*10^n + 2^n)/4, {n, 0, 20}] (* Wesley Ivan Hurt, Apr 24 2021 *)

PARI

a(n)=(3*10^n+2^n)/4 \\ Charles R Greathouse IV, Jun 29 2011

Formula

a(n) = (3*10^n + 2^n)/4.

G.f.: (1-4*x)/((1-10*x)*(1-2*x)).

E.g.f.: (3*exp(10*x) + exp(2*x))/4.

a(n) = 12*a(n-1)-20*a(n-2). - Wesley Ivan Hurt, Apr 24 2021