A017479 a(n) = (11*n + 7)^7.

823543, 612220032, 17249876309, 163840000000, 897410677851, 3521614606208, 11047398519097, 29509034655744, 69833729609375, 150363025899136, 300124211606973, 562949953421312, 1002544368429379, 1708593750000000, 2804020163098721, 4453476124377088, 6873178582377927

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 (8,-28,56,-70,56,-28,8,-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), this sequence (m=7), A017480 (m=8), A017481 (m=9), A017482 (m=10), A017483 (m=11), A017484 (m=12).

Programs

GAP

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

Magma

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

Maple

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

Mathematica

(11Range[0,20]+7)^7  (* Harvey P. Dale, Mar 24 2011 *)

PARI

vector(20, n, (11*n-4)^7) \\ G. C. Greubel, Sep 19 2019

Sage

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

Formula

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

G.f.: (823543 [phone]*x [phone]*x^2 [phone]*x^3 [phone] *x^4 [phone]*x^5 [phone]*x^6 +16384*x^7)/(1-x)^8.

E.g.f.: (823543 [phone]*x [phone]*x^2 [phone]*x^3 + 14295911630*x^4 [phone]*x^5 [phone]*x^6 [phone]*x^7)*exp(x). (End)