A017499 a(n) = (11*n + 9)^3.

729, 8000, 29791, 74088, 148877, 262144, 421875, 636056, 912673, 1259712, 1685159, 2197000, 2803221, 3511808, 4330747, 5268024, 6331625, 7529536, 8869743, 10360232, 12008989, 13824000, 15813251, 17984728, 20346417, 22906304, 25672375, 28652616, 31855013

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Crossrefs

Powers of the form (11*n+9)^m: A017497 (m=1), A017498 (m=2), this sequence (m=3), A017500 (m=4), A017501 (m=5), A017502 (m=6), A017503 (m=7), A017504 (m=8), A017505 (m=9), A017506 (m=10), A017607 (m=11), A017508 (m=12).

Programs

GAP

List([0..30], n-> (11*n+9)^3); # G. C. Greubel, Oct 28 2019

Magma

[(11*n+9)^3: n in [0..30]]; // G. C. Greubel, Oct 28 2019

Maple

seq((11*n+9)^3, n=0..30); # G. C. Greubel, Oct 28 2019

Mathematica

(11 Range[0,30]+9)^3 (* or *) LinearRecurrence[{4,-6,4,-1},{729,8000,29791,74088},30] (* Harvey P. Dale, Feb 13 2018 *)

Maxima

makelist( (11*n+9)^3, n, 0, 30); /* Martin Ettl, Oct 21 2012 */

PARI

vector(31, n, (11*n-2)^3) \\ G. C. Greubel, Oct 28 2019

Sage

[(11*n+9)^3 for n in (0..30)] # G. C. Greubel, Oct 28 2019

Formula

From G. C. Greubel, Oct 28 2019: (Start)

G.f.: (729 + 5084*x + 2165*x^2 + 8*x^3)/(1-x)^4.

E.g.f.: (729 + 7271*x + 7260*x^2 + 1331*x^3)*exp(x). (End)