A017487 a(n) = (11*n + 8)^3.

512, 6859, 27000, 68921, 140608, 250047, 405224, 614125, 884736, 1225043, 1643032, 2146689, 2744000, 3442951, 4251528, 5177717, 6229504, 7414875, 8741816, 10218313, 11852352, 13651919, 15625000, 17779581, 20123648, 22665187, 25412184, 28372625, 31554496, 34965783, 38614472, 42508549

Offset

0,1

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 G. C. Greubel, Sep 21 2019: (Start)

G.f.: (512 + 4811*x + 2636*x^2 + 27*x^3)/(1-x)^4.

E.g.f.: (512 + 6347*x + 6897*x^2 + 1331*x^3)*exp(x). (End)

Maple

seq((11*n+8)^3, n=0..40); # G. C. Greubel, Sep 21 2019

Mathematica

(11*Range[50] - 3)^3 (* G. C. Greubel, Sep 21 2019 *)

Prog

(Magma) [(11*n+8)^3: n in [0..40]]; // Vincenzo Librandi, Sep 04 2011
(Maxima) makelist( (11*n+8)^3, n, 0, 30); /* Martin Ettl, Oct 21 2012 */
(PARI) a(n) = (11*n+8)^3; \\ Altug Alkan, Sep 08 2018
(Sage) [(11*n+8)^3 for n in (0..40)] # G. C. Greubel, Sep 21 2019
(GAP) List([0..40], n-> (11*n+8)^3); # G. C. Greubel, Sep 21 2019

Crossrefs

Powers of the form (11*n+8)^m: A017485 (m=1), A017486 (m=2), this sequence (m=3), A017488 (m=4), A017489 (m=5), A017490 (m=6), A017491 (m=7), A017492 (m=8), A017493 (m=9), A017494 (m=10), A017495 (m=11), A017496 (m=12).

Sequence in context: A254899 A258999 A253833 * A263034 A254012 A258518

Adjacent sequences: A017484 A017485 A017486 * A017488 A017489 A017490

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved