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%I #16 Jun 30 2026 15:50:50
%S 0,531441,34012224,387420489,2176782336,8303765625,24794911296,
%T 62523502209,139314069504,282429536481,531441000000,941480149401,
%U 1586874322944,2565164201769,4001504141376,6053445140625
%N a(n) = (9*n)^6.
%H Vincenzo Librandi, <a href="/A017166/b017166.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7, -21, 35, -35, 21, -7, 1).
%F a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7); a(0)=0, a(1)=531441, a(2)=34012224, a(3)=387420489, a(4)=2176782336, a(5)=8303765625, a(6)=24794911296. - _Harvey P. Dale_, Apr 01 2014
%t (9*Range[0,20])^6 (* _Harvey P. Dale_, Apr 01 2014 *)
%t (* Alternative: *)
%t LinearRecurrence[{7,-21,35,-35,21,-7,1},{0,531441,34012224,387420489,2176782336,8303765625,24794911296},20] (* _Harvey P. Dale_, Apr 01 2014 *)
%o (Magma) [(9*n)^6: n in [0..20]]; // _Vincenzo Librandi_, Jul 22 2011
%K nonn,easy,changed
%O 0,2
%A _N. J. A. Sloane_