A017481 a(n) = (11*n + 7)^9.

40353607, 198359290368, 14507145975869, 262144000000000, 2334165173090451, 13537086546263552, 58871586708267913, 208215748530929664, 630249409724609375, 1689478959002692096, 4108400332687853397, 9223372036854775808, 19370159742424031659, 38443359375000000000

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 (10,-45,120,-210,252,-210,120,-45,10,-1).

Crossrefs

Powers of the form (11*n+7)^m: A017473 (m=1), A017474 (m=2), A017475 (m=3), A017476 (m=4), A017477 (m=5), A017478 (m=6), A017479 (m=7), A017480 (m=8), this sequence (m=9), A017482 (m=10), A017483 (m=11), A017484 (m=12).

Programs

GAP

List([0..20], n-> (11*n+7)^9); # G. C. Greubel, Sep 19 2019

Magma

[(11*n+7)^9: n in [0..20]]; // Vincenzo Librandi, Sep 04 2011

Maple

seq((11*n+7)^9, n=0..20); # G. C. Greubel, Sep 19 2019

Mathematica

(11Range[0,20]+7)^9  (* Harvey P. Dale, Mar 23 2011 *)

Maxima

makelist((11*n+7)^9, n, 0, 30); /* Martin Ettl, Oct 21 2012 */

PARI

a(n) = (11*n+7)^9; \\ Altug Alkan, Sep 08 2018

Sage

[(11*n+7)^9 for n in (0..20)] # G. C. Greubel, Sep 19 2019

Formula

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

G.f.: (40353607 [phone]*x [phone]*x^2 [phone]*x^3 [phone]*x^4 [phone]*x^5 [phone]*x^6 + 5045081881706*x^7 [phone]*x^8 +262144*x^9)/(1-x)^10.

E.g.f.: (40353607 [phone]*x [phone]*x^2 [phone]*x^3 [phone]*x^4 [phone]*x^5 [phone]*x^6 + 1501876268970*x^7 [phone]*x^8 [phone]*x^9)*exp(x). (End)