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%I #15 Sep 08 2022 08:44:42
%S 1679616,6975757441,377801998336,5352009260481,39062500000000,
%T 191707312997281,722204136308736,2252292232139041,6095689385410816,
%U 14774554437890625,32784148919812096,67675234241018881
%N a(n) = (11*n + 6)^8.
%H Vincenzo Librandi, <a href="/A017468/b017468.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1).
%F From _G. C. Greubel_, Sep 19 2019: (Start)
%F G.f.: (1679616 +6960640897*x +315080647543*x^2 +2202777455589*x^3 + 3909536602339*x^4 +1960512320323*x^5 +243788893317*x^6 +4291451671*x^7 + 390625*x^8)/(1-x)^9.
%F E.g.f.: (1679616 +6974077825*x +181926081535*x^2 +706588143030*x^3 + 828890566581*x^4 +384764689386*x^5 +78448264202*x^6 +6937432876*x^7 + 214358881*x^8)*exp(x). (End)
%p seq((11*n+6)^8, n=0..20); # _G. C. Greubel_, Sep 19 2019
%t (11*Range[20] -5)^8 (* _G. C. Greubel_, Sep 19 2019 *)
%o (Magma) [(11*n+6)^8: n in [0..20]]; // _Vincenzo Librandi_, Sep 04 2011
%o (PARI) vector(20, n, (11*n-5)^8) \\ _G. C. Greubel_, Sep 19 2019
%o (Sage) [(11*n+6)^8 for n in (0..20)] # _G. C. Greubel_, Sep 19 2019
%o (GAP) List([0..20], n-> (11*n+6)^8); # _G. C. Greubel_, Sep 19 2019
%Y 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), A017467 (m=7), this sequence (m=8), A017469 (m=9), A017470 (m=10), A017471 (m=11), A017472 (m=12).
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
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