A016983 a(n) = (7*n)^3.

0, 343, 2744, 9261, 21952, 42875, 74088, 117649, 175616, 250047, 343000, 456533, 592704, 753571, 941192, 1157625, 1404928, 1685159, 2000376, 2352637, 2744000, 3176523, 3652264, 4173281, 4741632, 5359375, 6028568, 6751269, 7529536, 8365427, 9261000, 10218313

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

From Vincenzo Librandi, Jul 05 2014: (Start)

G.f.: 343*x*(1 + 4*x + x^2)/(1 - x)^4.

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

From Elmo R. Oliveira, Oct 16 2025: (Start)

E.g.f.: 343*exp(x)*x*(1 + 3*x + x^2).

a(n) = 343*A000578(n) = A000578(7*n). (End)

Mathematica

Table[343 n^3, {n, 0, 40}] (* Vincenzo Librandi, Jul 05 2014 *)
(* Alternative: *)
CoefficientList[Series[343 x (1 + 4 x + x^2)/(1 - x)^4, {x, 0, 40}], x] (* Vincenzo Librandi, Jul 05 2014 *)

Prog

(Magma) [(7*n)^3: n in [0..40]]; // Vincenzo Librandi, May 22 2011

Crossrefs

Cf. similar sequences listed in A244725.

Cf. A000578.

Sequence in context: A167730 A250138 A016923 * A267321 A134738 A017151

Adjacent sequences: A016980 A016981 A016982 * A016984 A016985 A016986

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved