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a(n) = (8*n + 2)^4.
1

%I #18 Sep 08 2022 08:44:41

%S 16,10000,104976,456976,1336336,3111696,6250000,11316496,18974736,

%T 29986576,45212176,65610000,92236816,126247696,168896016,221533456,

%U 285610000,362673936,454371856,562448656

%N a(n) = (8*n + 2)^4.

%H Vincenzo Librandi, <a href="/A017092/b017092.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 G.f.: -16*(1 + 620*x + 3446*x^2 + 1996*x^3 + 81*x^4)/(x-1)^5. - _R. J. Mathar_, Jul 14 2016

%t (8*Range[0,20]+2)^4 (* or *) LinearRecurrence[{5,-10,10,-5,1},{16,10000,104976,456976,1336336},20] (* _Harvey P. Dale_, Dec 16 2017 *)

%o (Magma) [(8*n+2)^4: n in [0..30]]; // _Vincenzo Librandi_, Jul 12 2011

%Y Cf. A017089 (8n+2), A000583 (n^4).

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_