A017468 a(n) = (11*n + 6)^8.

1679616, 6975757441, 377801998336, 5352009260481, 39062500000000, 191707312997281, 722204136308736, 2252292232139041, 6095689385410816, 14774554437890625, 32784148919812096, 67675234241018881

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 (9,-36,84,-126,126,-84,36,-9,1).

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), this sequence (m=8), A017469 (m=9), A017470 (m=10), A017471 (m=11), A017472 (m=12).

Programs

GAP

List([0..20], n-> (11*n+6)^8); # G. C. Greubel, Sep 19 2019

Magma

[(11*n+6)^8: n in [0..20]]; // Vincenzo Librandi, Sep 04 2011

Maple

seq((11*n+6)^8, n=0..20); # G. C. Greubel, Sep 19 2019

Mathematica

(11*Range[20] -5)^8 (* G. C. Greubel, Sep 19 2019 *)

PARI

vector(20, n, (11*n-5)^8) \\ G. C. Greubel, Sep 19 2019

Sage

[(11*n+6)^8 for n in (0..20)] # G. C. Greubel, Sep 19 2019

Formula

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

G.f.: (1679616 [phone]*x [phone]*x^2 [phone]*x^3 + 3909536602339*x^4 [phone]*x^5 [phone]*x^6 [phone]*x^7 + 390625*x^8)/(1-x)^9.

E.g.f.: (1679616 [phone]*x [phone]*x^2 [phone]*x^3 + 828890566581*x^4 [phone]*x^5 [phone]*x^6 [phone]*x^7 + 214358881*x^8)*exp(x). (End)