A017500 a(n) = (11*n + 9)^4.

6561, 160000, 923521, 3111696, 7890481, 16777216, 31640625, 54700816, 88529281, 136048896, 200533921, 285610000, 395254161, 533794816, 705911761, 916636176, 1171350625, 1475789056, 1836036801, 2258530576, 2750058481, 3317760000, 3969126001, 4711998736

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 (5,-10,10,-5,1).

Crossrefs

Powers of the form (11*n+9)^m: A017497 (m=1), A017498 (m=2), A017499 (m=3), this sequence (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)^4, n=0..30); # G. C. Greubel, Oct 28 2019

Mathematica

(11Range[0,20]+9)^4  (* Harvey P. Dale, Mar 27 2011 *)

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.: (6561 +127195*x +189131*x^2 +28481*x^3 +16*x^4)/(1-x)^5.

E.g.f.: (6561 +153439*x +305041*x^2 +135762*x^3 +14641*x^4)*exp(x). (End)