A017451 a(n) = (11*n + 5)^3.

125, 4096, 19683, 54872, 117649, 216000, 357911, 551368, 804357, 1124864, 1520875, 2000376, 2571353, 3241792, 4019679, 4913000, 5929741, 7077888, 8365427, 9800344, 11390625, 13144256, 15069223, 17173512, 19465109, 21952000, 24642171, 27543608, 30664297, 34012224, 37595375, 41421736

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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).

Crossrefs

Powers of the form (11*n+5)^m: A017449 (m=1), A017450 (m=2), this sequence (m=3), A017452 (m=4), A017453 (m=5), A017454 (m=6), A017455 (m=7), A017456 (m=8), A017457 (m=9), A017458 (m=10), A017459 (m=11), A017460 (m=12).

Programs

GAP

List([0..40], n-> (11*n+5)^3); # G. C. Greubel, Sep 18 2019

Magma

[(11*n+5)^3: n in [0..40]]; // Vincenzo Librandi, Sep 03 2011

Maple

seq((11*n+5)^3, n=0..40); # G. C. Greubel, Sep 18 2019

Mathematica

(11*Range[40] -6)^3 (* G. C. Greubel, Sep 18 2019 *)

PARI

vector(40, n, (11*n-6)^3) \\ G. C. Greubel, Sep 18 2019

Sage

[(11*n+5)^3 for n in (0..40)] # G. C. Greubel, Sep 18 2019

Formula

From G. C. Greubel, Sep 18 2019: (Start)

G.f.: (125 +3596*x +4049*x^2 +216*x^3)/(1-x)^4.

E.g.f.: (125 +3971*x +5808*x^2 +1331*x^3)*exp(x). (End)