cp's OEIS Frontend

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

%I A017479 #19 Sep 08 2022 08:44:42
%S A017479 823543,612220032,17249876309,163840000000,897410677851,3521614606208,
%T A017479 11047398519097,29509034655744,69833729609375,150363025899136,
%U A017479 300124211606973,562949953421312,1002544368429379,1708593750000000,2804020163098721,4453476124377088,6873178582377927
%N A017479 a(n) = (11*n + 7)^7.
%H A017479 Vincenzo Librandi, <a href="/A017479/b017479.txt">Table of n, a(n) for n = 0..10000</a>
%H A017479 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).
%F A017479 From _G. C. Greubel_, Sep 19 2019: (Start)
%F A017479 G.f.: (823543 +605631688*x +12375175257*x^2 +42937032016*x^3 +35460540721 *x^4 +6665393928*x^5 +170728303*x^6 +16384*x^7)/(1-x)^8.
%F A017479 E.g.f.: (823543 +611396489*x +8013129894*x^2 +18987701271*x^3 + 14295911630*x^4 +4196022754*x^5 +496037080*x^6 +19487171*x^7)*exp(x). (End)
%p A017479 seq((11*n+7)^7, n=0..20); # _G. C. Greubel_, Sep 19 2019
%t A017479 (11Range[0,20]+7)^7  (* _Harvey P. Dale_, Mar 24 2011 *)
%o A017479 (Magma) [(11*n+7)^7: n in [0..20]]; // _Vincenzo Librandi_, Sep 04 2011
%o A017479 (PARI) vector(20, n, (11*n-4)^7) \\ _G. C. Greubel_, Sep 19 2019
%o A017479 (Sage) [(11*n+7)^7 for n in (0..20)] # _G. C. Greubel_, Sep 19 2019
%o A017479 (GAP) List([0..20], n-> (11*n+7)^7); # _G. C. Greubel_, Sep 19 2019
%Y A017479 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).
%K A017479 nonn,easy
%O A017479 0,1
%A A017479 _N. J. A. Sloane_