A017472 a(n) = (11*n + 6)^12.

2176782336, 582622237229761, 232218265089212416, 12381557655576425121, 244140625000000000000, 2654348974297586158321, 19408409961765342806016, 106890007738661124410161, 475920314814253376475136, 1795856326022129150390625

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).

Formula

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

G.f.: (2176782336 +582593939059393*x +224644345794247731*x^2 + 9408164121360836975*x^3 +101126771751016700469*x^4 + 380284494715132979466*x^5 +569002784856695826846*x^6 + 350628073514443644414*x^7 +85353518454518704170*x^8 + 7136462627993219301*x^9 +146435479642729343*x^10 +281471802882531*x^11 +244140625*x^12)/(1-x)^13.

E.g.f.: (2176782336 +582620060447425*x +115526511395767615*x^2 + 1947775120807282470*x^3 +8166890561727393221*x^4 + 12959517969262230432 *x^5 +9583714050157484644*x^6 +3701592580215241932*x^7 + 793530834460904067*x^8 +96520289732086275*x^9 +6542481918780841*x^10 + 227678713147578*x^11 +3138428376721*x^12)*exp(x). (End)

Maple

seq((11*n+6)^12, n=0..20); # G. C. Greubel, Sep 19 2019

Mathematica

(11*Range[0, 20]+6)^12 (* Harvey P. Dale, Sep 22 2012 *)

Prog

(Magma) [(11*n+6)^12: n in [0..10]]; // Vincenzo Librandi, Sep 04 2011
(PARI) vector(20, n, (11*n-5)^12) \\ G. C. Greubel, Sep 19 2019
(Sage) [(11*n+6)^12 for n in (0..20)] # G. C. Greubel, Sep 19 2019
(GAP) List([0..20], n-> (11*n+6)^12); # G. C. Greubel, Sep 19 2019

Crossrefs

Powers of the form (11*n+6)^m: A017461 (m=1), A017462 (m=2), A017463 (m=3), A017464 (m=4), A017465 (m=5), A017466 (m=6), A017467 (m=7), A017468 (m=8), A017469 (m=9), A017470 (m=10), A017471 (m=11), this sequence (m=12).

Sequence in context: A017148 A017244 A017352 * A017604 A288080 A274366

Adjacent sequences: A017469 A017470 A017471 * A017473 A017474 A017475

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved