A017067 a(n) = (8*n)^3.

0, 512, 4096, 13824, 32768, 64000, 110592, 175616, 262144, 373248, 512000, 681472, 884736, 1124864, 1404928, 1728000, 2097152, 2515456, 2985984, 3511808, 4096000, 4741632, 5451776, 6229504, 7077888, 8000000, 8998912, 10077696, 11239424, 12487168, 13824000, 15252992, 16777216

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

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

Formula

G.f.: 512*x*(1 + 4*x + x^2)/(-1+x)^4. - R. J. Mathar, Jun 24 2009

a(n) = A008590(n)^3.

From Elmo R. Oliveira, Oct 18 2025: (Start)

E.g.f.: 512*x*(1 + 3*x + x^2)*exp(x).

a(n) = 512*A000578(n) = A016803(2*n) = A016743(4*n).

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). (End)

Mathematica

(8*Range[0, 35])^3 (* Paolo Xausa, Dec 06 2025 *)

Prog

(Magma) [(8*n)^3: n in [0..35]]; // Vincenzo Librandi, Jul 10 2011

Crossrefs

Cf. A000578, A008590, A016743, A016803.

Sequence in context: A197908 A186806 A186798 * A186845 A239917 A114287

Adjacent sequences: A017064 A017065 A017066 * A017068 A017069 A017070

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved