A017493 a(n) = (11*n + 8)^9.

134217728, 322687697779, 19683000000000, 327381934393961, 2779905883635712, 15633814156853823, 66540410775079424, 231616946283203125, 692533995824480256, 1838459212420154507, 4435453859151328768, 9892530380752880769, 20661046784000000000, 40812436757196811351

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).

Crossrefs

Powers of the form (11*n+8)^m: A017485 (m=1), A017486 (m=2), A017487 (m=3), A017488 (m=4), A017489 (m=5), A017490 (m=6), A017491 (m=7), A017492 (m=8), this sequence (m=9), A017494 (m=10), A017495 (m=11), A017496 (m=12).

Programs

GAP

List([0..20], n-> (11*n+8)^9); # G. C. Greubel, Sep 22 2019

Magma

[(11*n+8)^9: n in [0..20]]; // G. C. Greubel, Sep 22 2019

Maple

seq((11*n+8)^9, n=0..20); # G. C. Greubel, Sep 22 2019

Mathematica

(11Range[0,10]+8)^9  (* Harvey P. Dale, Apr 06 2011 *)

Maxima

makelist( (11*n+8)^9, n, 0, 30); /* Martin Ettl, Oct 21 2012 */

PARI

vector(20, n, (11*n-3)^9) \\ G. C. Greubel, Sep 22 2019

Sage

[(11*n+8)^9 for n in (0..20)] # G. C. Greubel, Sep 22 2019

Formula

From G. C. Greubel, Sep 22 2019: (Start)

G.f.: (134217728 [phone]*x [phone]*x^2 [phone]*x^3 [phone]*x^4 [phone]*x^5 [phone]*x^6 + 3608087683520*x^7 [phone]*x^8 +19683*x^9)/(1-x)^10.

E.g.f.: (134217728 [phone]*x [phone]*x^2 [phone]*x^3 [phone]*x^4 [phone]*x^5 [phone]*x^6 + 1566417779322*x^7 [phone]*x^8 [phone]*x^9)*exp(x). (End)

Extensions

More terms added by G. C. Greubel, Sep 22 2019