A017511 a(n) = (11*n + 10)^3.

1000, 9261, 32768, 79507, 157464, 274625, 438976, 658503, 941192, 1295029, 1728000, 2248091, 2863288, 3581577, 4410944, 5359375, 6434856, 7645373, 8998912, 10503459, 12167000, 13997521, 16003008, 18191447, 20570824, 23149125, 25934336, 28934443, 32157432

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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).

Crossrefs

Cf. A000578, A017509.

Powers of the form (11*n+10)^m: A017509 (m=1), A017510 (m=2), this sequence (m=3), A017512 (m=4), A017513 (m=5), A017514 (m=6), A017515 (m=7), A017516 (m=8), A017517 (m=9), A017518 (m=10), A017519 (m=11), A017520 (m=12).

Programs

GAP

List([0..40], n-> (11*n+10)^3); # G. C. Greubel, Oct 29 2019

Magma

[(11*n+10)^3: n in [0..40]]; // Vincenzo Librandi, May 26 2016

Maple

seq((11*n+10)^3, n=0..40); # G. C. Greubel, Oct 29 2019

Mathematica

Table[(11 n + 10)^3, {n, 0, 40}] (* Vincenzo Librandi, May 26 2016 *)
(11*Range[40] -1)^3 (* G. C. Greubel, Oct 29 2019 *)

Maxima

makelist((11*n+10)^3, n,0,40); /* Martin Ettl, Oct 21 2012 */

PARI

vector(41, n, (11*n-1)^3) \\ G. C. Greubel, Oct 29 2019

Sage

[(11*n+10)^3 for n in (0..40)] # G. C. Greubel, Oct 29 2019

Formula

G.f.: (1000 + 5261*x + 1724*x^2 + x^3)/(1-x)^4. - Vincenzo Librandi, May 26 2016

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4), for n>3. - Vincenzo Librandi, May 26 2016

a(n) = A000578(A017509(n)). - Michel Marcus, May 26 2016

E.g.f.: (1000 + 8261*x + 7623*x^2 + 1331*x^3)*exp(x). - G. C. Greubel, Oct 29 2019