A017391 a(n) = (11*n)^3.

0, 1331, 10648, 35937, 85184, 166375, 287496, 456533, 681472, 970299, 1331000, 1771561, 2299968, 2924207, 3652264, 4492125, 5451776, 6539203, 7762392, 9129329, 10648000, 12326391, 14172488, 16194277, 18399744, 20796875, 23393656, 26198073, 29218112, 32461759, 35937000

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

From Elmo R. Oliveira, Oct 17 2025: (Start)

G.f.: 1331*x*(1 + 4*x + x^2)/(x-1)^4.

E.g.f.: 1331*x*(1 + 3*x + x^2)*exp(x).

a(n) = 1331*n^3 = A000578(11*n).

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

Mathematica

(11*Range[0, 30])^3 (* Paolo Xausa, Dec 14 2025 *)

Prog

(Magma) [(11*n)^3: n in [0..30]]; // Vincenzo Librandi, Sep 02 2011

Crossrefs

Cf. A000578.

Sequence in context: A295900 A030100 A017283 * A017655 A209844 A227475

Adjacent sequences: A017388 A017389 A017390 * A017392 A017393 A017394

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved