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a(n) = (7*n + 4)^10.
1

%I #15 Sep 08 2022 08:44:41

%S 1048576,25937424601,3570467226624,95367431640625,1125899906842624,

%T 8140406085191601,42420747482776576,174887470365513049,

%U 604661760000000000,1822837804551761449,4923990397355877376

%N a(n) = (7*n + 4)^10.

%H Vincenzo Librandi, <a href="/A017038/b017038.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1).

%t (7*Range[0,10]+4)^10 (* or *) LinearRecurrence[{11,-55,165,-330,462,-462,330,-165,55,-11,1},{1048576,25937424601,3570467226624,95367431640625,1125899906842624,8140406085191601,42420747482776576,174887470365513049,604661760000000000,1822837804551761449,4923990397355877376},20] (* _Harvey P. Dale_, Apr 21 2022 *)

%o (Magma) [(7*n+4)^10: n in [0..20] ]; // _Vincenzo Librandi_, Jul 16 2011

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_