A017019 a(n) = (7*n + 3)^3.

27, 1000, 4913, 13824, 29791, 54872, 91125, 140608, 205379, 287496, 389017, 512000, 658503, 830584, 1030301, 1259712, 1520875, 1815848, 2146689, 2515456, 2924207, 3375000, 3869893, 4410944, 5000211

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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).

Crossrefs

Cf. A017017, A017018, A017020 - A017028.

Programs

Magma

[(7*n+3)^3: n in [0..35]]; // Vincenzo Librandi, Jul 14 2011

Mathematica

(7*Range[0, 40] +3)^3 (* G. C. Greubel, Oct 17 2023 *)

SageMath

[(7*n+3)^3 for n in range(41)] # G. C. Greubel, Oct 17 2023

Formula

From G. C. Greubel, Oct 17 2023: (Start)

G.f.: (27 + 892*x + 1075*x^2 + 64*x^3)/(1 - x)^4.

E.g.f.: (27 + 973*x + 1470*x^2 + 343*x^3)*exp(x). (End)