A017478 a(n) = (11*n + 7)^6.

117649, 34012224, 594823321, 4096000000, 17596287801, 56800235584, 151334226289, 351298031616, 735091890625, 1418519112256, 2565164201769, 4398046511104, 7212549413161, 11390625000000, 17416274304961, 25892303048704, 37558352909169, 53310208315456, 74220378765625

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 (7,-21,35,-35,21,-7,1).

Crossrefs

Powers of the form (11*n+7)^m: A017473 (m=1), A017474 (m=2), A017475 (m=3), A017476 (m=4), A017477 (m=5), this sequence (m=6), A017479 (m=7), A017480 (m=8), A017481 (m=9), A017482 (m=10), A017483 (m=11), A017484 (m=12).

Programs

GAP

List([0..20], n-> (11*n+7)^6); # G. C. Greubel, Sep 19 2019

Magma

[(11*n+7)^6: n in [0..20]]; // Vincenzo Librandi, Sep 04 2011

Maple

seq((11*n+7)^6, n=0..20); # G. C. Greubel, Sep 19 2019

Mathematica

(11*Range[21] -4)^6 (* G. C. Greubel, Sep 19 2019 *)

Maxima

makelist((11*n+7)^6, n, 0, 20); /* Martin Ettl, Oct 21 2012 */

PARI

vector(20, n, (11*n-4)^6) \\ G. C. Greubel, Sep 19 2019

Sage

[(11*n+7)^6 for n in (0..20)] # G. C. Greubel, Sep 19 2019

Formula

From G. C. Greubel, Sep 19 2019: (Start)

G.f.: (117649 [phone]*x [phone]*x^2 [phone]*x^3 [phone]*x^4 [phone]*x^5 +4096*x^6)/(1-x)^7.

E.g.f.: (117649 [phone]*x [phone]*x^2 [phone]*x^3 [phone]*x^4 [phone]*x^5 +1771561*x^6)*exp(x). (End)