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%I #16 Sep 08 2022 08:44:42
%S 4096,130321,810000,2825761,7311616,15752961,29986576,52200625,
%T 84934656,131079601,193877776,276922881,384160000,519885601,688747536,
%U 895745041,1146228736,1445900625,1800814096,2217373921,2702336256,3262808641,3906250000,4640470641
%N a(n) = (11*n + 8)^4.
%H Vincenzo Librandi, <a href="/A017488/b017488.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F From _G. C. Greubel_, Sep 22 2019: (Start)
%F G.f.: (4096 + 109841*x + 199355*x^2 + 38011*x^3 + 81*x^4)/(1-x)^5.
%F E.g.f.: (4096 +126225*x +276727*x^2 +130438*x^3 +14641*x^4)*exp(x). (End)
%p seq((11*n+8)^4, n=0..30); # _G. C. Greubel_, Sep 22 2019
%t (11*Range[31] -3)^4 (* _G. C. Greubel_, Sep 22 2019 *)
%o (Magma) [(11*n+8)^4: n in [0..30]]; // _Vincenzo Librandi_, Sep 04 2011
%o (PARI) vector(30, n, (11*n-3)^4) \\ _G. C. Greubel_, Sep 22 2019
%o (Sage) [(11*n+8)^4 for n in (0..30)] # _G. C. Greubel_, Sep 22 2019
%o (GAP) List([0..30], n-> (11*n+8)^4); # _G. C. Greubel_, Sep 22 2019
%Y Powers of the form (11*n+8)^m: A017485 (m=1), A017486 (m=2), A017487 (m=3), this sequence (m=4), A017489 (m=5), A017490 (m=6), A017491 (m=7), A017492 (m=8), A017493 (m=9), A017494 (m=10), A017495 (m=11), A017496 (m=12).
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
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