A127369 a(n) = (n^3+n)*4^n.

8, 160, 1920, 17408, 133120, 909312, 5734400, 34078720, 193462272, 1059061760, 5628755968, 29192355840, 148310589440, 740344987648, 3639984783360, 17660905521152, 84696755077120, 402008938905600, 1890610243960832

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (16,-96,256,-256).

Formula

G.f.: 8*x*(1+4*x+16*x^2)/(1-4*x)^4. [R. J. Mathar, Dec 19 2008]

Mathematica

Table[(n^3 + n) 4^n, {n, 20}] (* Vincenzo Librandi Feb 22 2013 *)
LinearRecurrence[{16, -96, 256, -256}, {8, 160, 1920, 17408}, 20] (* Harvey P. Dale, Aug 14 2021 *)

Prog

(Magma) [(n^3 + n) * 4^n: n in [1..20]]; // Vincenzo Librandi, Feb 22 2013

Crossrefs

Cf. A128796, A128960, A128985, A129002.

Sequence in context: A114223 A278669 A201030 * A364741 A228700 A036909

Adjacent sequences: A127366 A127367 A127368 * A127370 A127371 A127372

Keyword

nonn,easy

Author

Mohammad K. Azarian, May 02 2007

Status

approved