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A017467 a(n) = (11*n + 6)^7.

%I A017467 #17 Sep 08 2022 08:44:42
%S A017467 279936,410338673,13492928512,137231006679,781250000000,3142742836021,
%T A017467 10030613004288,27136050989627,64847759419264,140710042265625,
%U A017467 282621973446656,532875860165503,953133216331392,1630436461403549,2684354560000000,4275360817613091,6614541047773568
%N A017467 a(n) = (11*n + 6)^7.
%H A017467 Vincenzo Librandi, <a href="/A017467/b017467.txt">Table of n, a(n) for n = 0..10000</a>
%H A017467 <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 A017467 From _G. C. Greubel_, Sep 19 2019: (Start)
%F A017467 G.f.: (279936 +408099185*x +10218057336*x^2 +40761385011*x^3 +38244574736 *x^4 +8315057055*x^5 +267810456*x^6 +78125*x^7)/(1-x)^8.
%F A017467 E.g.f.: (279936 +410058737*x +6336265551*x^2 +16330492871*x^3 + 12985102900*x^4 +3966041926*x^5 +483636153*x^6 +19487171*x^7)*exp(x). (End)
%p A017467 seq((11*n+6)^7, n=0..20); # _G. C. Greubel_, Sep 19 2019
%t A017467 (11 Range[0, 19] + 6)^7 (* _Alonso del Arte_, Nov 04 2017 *)
%o A017467 (Magma) [(11*n+6)^7: n in [0..20]]; // _Vincenzo Librandi_, Sep 04 2011
%o A017467 (PARI) vector(20, n, (11*n-5)^7) \\ _G. C. Greubel_, Sep 19 2019
%o A017467 (Sage) [(11*n+6)^7 for n in (0..20)] # _G. C. Greubel_, Sep 19 2019
%o A017467 (GAP) List([0..20], n-> (11*n+6)^7); # _G. C. Greubel_, Sep 19 2019
%Y A017467 Powers of the form (11*n+6)^m: A017461 (m=1), A017462 (m=2), A017463 (m=3), A017464 (m=4), A017465 (m=5), A017466 (m=6), this sequence (m=7), A017468 (m=8), A017469 (m=9), A017470 (m=10), A017471 (m=11), A017472 (m=12).
%K A017467 nonn,easy
%O A017467 0,1
%A A017467 _N. J. A. Sloane_