A017456 a(n) = (11*n + 5)^8.

390625, 4294967296, 282429536481, 4347792138496, 33232930569601, 167961600000000, 645753531245761, 2044140858654976, 5595818096650401, 13685690504052736, 30590228625390625, 63527879748485376, 124097929967680321, 230193853492166656, 408485828788939521

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+5)^m: A017449 (m=1), A017450 (m=2), A017451 (m=3), A017452 (m=4), A017453 (m=5), A017454 (m=6), A017455 (m=7), this sequence (m=8), A017457 (m=9), A017458 (m=10), A017459 (m=11), A017460 (m=12).

Programs

GAP

List([0..20], n-> (11*n+5)^8); # G. C. Greubel, Sep 19 2019

Magma

[(11*n+5)^8: n in [0..20]]; // Vincenzo Librandi, Sep 03 2011

Maple

seq((11*n+5)^8, n=0..20); # G. C. Greubel, Sep 19 2019

Mathematica

(11Range[0,20]+5)^8  (* Harvey P. Dale, Apr 23 2011 *)

PARI

vector(20, n, (11*n-6)^8) \\ G. C. Greubel, Sep 19 2019

Sage

[(11*n+5)^8 for n in (0..20)] # G. C. Greubel, Sep 19 2019

Formula

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

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

E.g.f.: (390625 [phone]*x [phone]*x^2 [phone]*x^3 [phone]*x^4 [phone]*x^5 [phone]*x^6 [phone]*x^7 + 214358881*x^8)*exp(x). (End)