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%I #16 Sep 08 2022 08:44:41
%S 0,59049,60466176,3486784401,61917364224,576650390625,3570467226624,
%T 16679880978201,63403380965376,205891132094649,590490000000000,
%U 1531578985264449,3656158440062976,8140406085191601,17080198121677824
%N a(n) = (3*n)^10.
%H Vincenzo Librandi, <a href="/A016774/b016774.txt">Table of n, a(n) for n = 0..1000</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).
%F a(n) = 11*a(n-1) - 55*a(n-2) + 165*a(n-3) - 330*a(n-4) + 462*a(n-5) - 462*a(n-6) + 330*a(n-7) - 165*a(n-8) + 55*a(n-9) - 11*a(n-10) + a(n-11); a(0)=0, a(1)=59049, a(2)=60466176, a(3)=3486784401, a(4)=61917364224, a(5)=576650390625, a(6)=3570467226624, a(7)=16679880978201, a(8)=63403380965376, a(9)=205891132094649, a(10)=590490000000000. - _Harvey P. Dale_, Mar 04 2013
%t (3*Range[0,30])^10 (* or *) LinearRecurrence[{11,-55,165,-330,462,-462,330,-165,55,-11,1},{0,59049,60466176,3486784401,61917364224,576650390625,3570467226624,16679880978201,63403380965376,205891132094649,590490000000000},30](* _Harvey P. Dale_, Mar 04 2013 *)
%o (Magma) [(3*n)^10: n in [0..20]]; // _Vincenzo Librandi_, May 09 2011
%Y Cf. A008454 (n^10).
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_
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