A017523 a(n) = (12*n)^3.

0, 1728, 13824, 46656, 110592, 216000, 373248, 592704, 884736, 1259712, 1728000, 2299968, 2985984, 3796416, 4741632, 5832000, 7077888, 8489664, 10077696, 11852352, 13824000, 16003008, 18399744, 21024576, 23887872, 27000000, 30371328, 34012224

Offset

0,2

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.: 1728*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

Mathematica

Table[1728 n^3, {n, 0, 40}] (* or *) CoefficientList[Series[1728 x (1 + 4 x + x^2)/(1 - x)^4, {x, 0, 40}], x] (* Vincenzo Librandi, Jul 05 2014 *)

Prog

(Maxima) makelist((12*n)^3, n, 0, 30); /* Martin Ettl, Oct 21 2012 */
(Magma) [1728*n^3: n in [0..40]]; // Vincenzo Librandi, Jul 05 2014
(Magma) I:=[0, 1728, 13824, 46656]; [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: A323560 A223236 A017403 * A237490 A223324 A002519

Adjacent sequences: A017520 A017521 A017522 * A017524 A017525 A017526

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved