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, 17548680903000064, 105300881511022592

Offset

0,2

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).

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.

Mathematica

a[n_] := (4*6^n + (-4)^n)/5; Array[a, 25, 0] (* Amiram Eldar, Feb 15 2026 *)

Prog

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

Crossrefs

Cf. A083222, A083300.

Sequence in context: A271415 A270619 A326745 * A336448 A259854 A272424

Adjacent sequences: A083296 A083297 A083298 * A083300 A083301 A083302

Keyword

easy,nonn

Author

Paul Barry, Apr 24 2003

Status

approved