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A017440 a(n) = (11*n + 4)^4.

%I A017440 #10 Sep 08 2022 08:44:42
%S A017440 256,50625,456976,1874161,5308416,12117361,24010000,43046721,71639296,
%T A017440 112550881,168896016,244140625,342102016,466948881,623201296,
%U A017440 815730721,1049760000,1330863361,1664966416,2058346161,2517630976,3049800625,3662186256,4362470401,5158686976,6059221281
%N A017440 a(n) = (11*n + 4)^4.
%H A017440 G. C. Greubel, <a href="/A017440/b017440.txt">Table of n, a(n) for n = 0..1000</a>
%H A017440 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F A017440 From _G. C. Greubel_, Sep 18 2019: (Start)
%F A017440 G.f.: (256 +49345*x +206411*x^2 -92971*x^3 +2401*x^4)/(1-x)^5.
%F A017440 E.g.f.: (256 + 50369*x + 177991*x^2 + 109142*x^3 + 14641*x^4)*exp(x). (End)
%p A017440 seq((11*n + 4)^4, n=0..30); # _G. C. Greubel_, Sep 18 2019
%t A017440 (11*Range[30] -7)^4 (* _G. C. Greubel_, Sep 18 2019 *)
%o A017440 (PARI) vector(30, n, (11*n-7)^4) \\ _G. C. Greubel_, Sep 18 2019
%o A017440 (Magma) [(11*n+4)^4: n in [0..30]]; // _G. C. Greubel_, Sep 18 2019
%o A017440 (Sage) [(11*n+4)^4 for n in (0..30)] # _G. C. Greubel_, Sep 18 2019
%o A017440 (GAP) List([0..30], n-> (11*n+4)^4); # _G. C. Greubel_, Sep 18 2019
%Y A017440 Powers of the form (11*n+4)^m: A017437 (m=1), A017438 (m=2), A017439 (m=3), this sequence (m=4), A017441 (m=5), A017442 (m=6), A017443 (m=7), A017444 (m=8), A017445 (m=9), A017446 (m=10), A017447 (m=11), A017448 (m=12).
%K A017440 nonn,easy
%O A017440 0,1
%A A017440 _N. J. A. Sloane_
%E A017440 Terms a(20) onward added by _G. C. Greubel_, Sep 18 2019