A083299 a(n) = (4*6^n + (-4)^n)/5.

1, 4, 32, 160, 1088, 6016, 38144, 220672, 1356800, 8009728, 48582656, 289398784, 1744781312, 10435133440, 62745018368, 375933239296, 2257746919424, 13537891581952, 81261709230080, 487432816427008, 2925146654375936

Offset: 0

Author

Paul Barry, Apr 24 2003

Keywords

• easy
• nonn

Comments

Binomial transform of A083222.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..300
• Index entries for linear recurrences with constant coefficients, signature (2, 24).

Crossrefs

Cf. A083300.

Programs

Magma

[(4*6^n+(-4)^n)/5: n in [0..25]]; // Vincenzo Librandi, Jun 01 2011

Formula

a(n) = (4*6^n + (-4)^n)/5.

G.f.: (1+2*x)/((1-6*x)*(1+4*x)).

E.g.f.: (4*exp(6*x) + exp(-4*x))/5.