A016803 (4n)^3.

0, 64, 512, 1728, 4096, 8000, 13824, 21952, 32768, 46656, 64000, 85184, 110592, 140608, 175616, 216000, 262144, 314432, 373248, 438976, 512000, 592704, 681472, 778688, 884736, 1000000, 1124864, 1259712, 1404928, 1560896, 1728000, 1906624, 2097152

Offset

0,2

Comments

Volume of a cube with side 4n. - Wesley Ivan Hurt, Jul 05 2014

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Formula

G.f.: 64*x*(1 + 4*x + x^2)/(1 - x)^4. - Vincenzo Librandi, Jul 05 2014

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>3. - Vincenzo Librandi, Jul 05 2014

a(n) = 64 * A000578(n). - Wesley Ivan Hurt, Jul 05 2014

Maple

A016803:=n->64*n^3: seq(A016803(n), n=0..40); # Wesley Ivan Hurt, Jul 05 2014

Mathematica

Table[64 n^3, {n, 0, 40}] (* or *) CoefficientList[Series[64 x (1 + 4 x + x^2)/(1 - x)^4, {x, 0, 40}], x] (* Vincenzo Librandi, Jul 05 2014 *)

Prog

(Magma) [64*n^3: n in [0..40]] /* or */ I:=[0, 64, 512, 1728]; [n le 4 select I[n] else 4*Self(n-1)-6*Self(n-2)+4*Self(n-3)-Self(n-4): n in [1..40]]; // Vincenzo Librandi, Jul 05 2014

Crossrefs

Cf. similar sequences listed in A244725.

Sequence in context: A221070 A297844 A233304 * A066430 A115740 A100415

Adjacent sequences: A016800 A016801 A016802 * A016804 A016805 A016806

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved