A017271 a(n) = (10*n)^3.

0, 1000, 8000, 27000, 64000, 125000, 216000, 343000, 512000, 729000, 1000000, 1331000, 1728000, 2197000, 2744000, 3375000, 4096000, 4913000, 5832000, 6859000, 8000000, 9261000, 10648000, 12167000, 13824000, 15625000, 17576000, 19683000, 21952000, 24389000, 27000000

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.: 1000*x*(1 + 4*x + x^2)/(x-1)^4. - R. J. Mathar, Mar 20 2018

From Elmo R. Oliveira, Nov 28 2025: (Start)

E.g.f.: 1000*exp(x)*x*(1 + 3*x + x^2).

a(n) = 1000*A000578(n) = A016851(2*n).

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

Mathematica

(10 Range[0, 30])^3 (* Harvey P. Dale, Apr 15 2018 *)
(* Alternative: *)
LinearRecurrence[{4, -6, 4, -1}, {0, 1000, 8000, 27000}, 30] (* Harvey P. Dale, Apr 15 2018 *)

Prog

(Magma) [(10*n)^3: n in [0..40]]; // Vincenzo Librandi, Jul 28 2011

Crossrefs

Cf. A000578, A016851.

Sequence in context: A381045 A017175 A019548 * A017511 A326639 A379270

Adjacent sequences: A017268 A017269 A017270 * A017272 A017273 A017274

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved