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a(n) = (8*n + 1)^9.
1

%I #14 Aug 21 2024 12:48:31

%S 1,387420489,118587876497,3814697265625,46411484401953,

%T 327381934393961,1628413597910449,6351461955384057,20711912837890625,

%U 58871586708267913,150094635296999121,350356403707485209

%N a(n) = (8*n + 1)^9.

%H Vincenzo Librandi, <a href="/A017085/b017085.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).

%t (8*Range[0,20]+1)^9 (* or *) LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{1,387420489,118587876497,3814697265625,46411484401953,327381934393961,1628413597910449,6351461955384057,20711912837890625,58871586708267913},20] (* _Harvey P. Dale_, Aug 21 2024 *)

%o (Magma) [(8*n+1)^9: n in [0..20]]; // _Vincenzo Librandi_, Jul 11 2011

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_