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a(n) = (7*n + 1)^9.
1

%I #14 Oct 29 2024 12:58:34

%S 1,134217728,38443359375,1207269217792,14507145975869,101559956668416,

%T 502592611936843,1953125000000000,6351461955384057,18014398509481984,

%U 45848500718449031,106868920913284608,231616946283203125

%N a(n) = (7*n + 1)^9.

%H Vincenzo Librandi, <a href="/A017001/b017001.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 (7*Range[0,20]+1)^9 (* or *) LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{1,134217728,38443359375,1207269217792,14507145975869,101559956668416,502592611936843,1953125000000000,6351461955384057,18014398509481984},20] (* _Harvey P. Dale_, Oct 29 2024 *)

%o (Magma) [(7*n+1)^9: n in [0..20]]; // _Vincenzo Librandi_, Jul 13 2011

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_