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

0,1

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).

Formula

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

G.f.: (117649 +33188681*x +359208382*x^2 +642375742*x^3 +229267417*x^4 +11361953*x^5 +4096*x^6)/(1-x)^7.

E.g.f.: (117649 +33894575*x +263458261*x^2 +402241510*x^3 +193554020*x^4 +33337557*x^5 +1771561*x^6)*exp(x). (End)

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 *)

Prog

(Magma) [(11*n+7)^6: n in [0..20]]; // Vincenzo Librandi, Sep 04 2011
(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
(GAP) List([0..20], n-> (11*n+7)^6); # G. C. Greubel, Sep 19 2019

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).

Sequence in context: A017154 A017250 A017358 * A017610 A120321 A202599

Adjacent sequences: A017475 A017476 A017477 * A017479 A017480 A017481

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved