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a(n) = (8*n + 2)^10.
1

%I #14 Sep 08 2022 08:44:41

%S 1024,10000000000,3570467226624,141167095653376,2064377754059776,

%T 17080198121677824,97656250000000000,430804206899405824,

%U 1568336880910795776,4923990397355877376,13744803133596058624

%N a(n) = (8*n + 2)^10.

%H Vincenzo Librandi, <a href="/A017098/b017098.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 (8*Range[0,20]+2)^10 (* or *) LinearRecurrence[{11,-55,165,-330,462,-462,330,-165,55,-11,1},{1024,10000000000,3570467226624,141167095653376,2064377754059776,17080198121677824,97656250000000000,430804206899405824,1568336880910795776,4923990397355877376,13744803133596058624},20] (* _Harvey P. Dale_, Mar 06 2019 *)

%o (Magma) [(8*n+2)^10: n in [0..20]]; // _Vincenzo Librandi_, Jul 12 2011

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_