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(3*n)^4.
3

%I #24 Sep 08 2022 08:44:41

%S 0,81,1296,6561,20736,50625,104976,194481,331776,531441,810000,

%T 1185921,1679616,2313441,3111696,4100625,5308416,6765201,8503056,

%U 10556001,12960000,15752961,18974736,22667121,26873856,31640625,37015056,43046721,49787136,57289761

%N (3*n)^4.

%H Vincenzo Librandi, <a href="/A016768/b016768.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).

%F a(n) = A000583(3n) = 81*A000583(n) = A008585(n)^4. - _Wesley Ivan Hurt_, May 10 2014

%F G.f.: -81*x*(1+x)*(x^2+10*x+1) / (x-1)^5. - _R. J. Mathar_, May 14 2014

%p A016768:=n->(3*n)^4; seq(A016768(n), n=0..40); # _Wesley Ivan Hurt_, May 10 2014

%t (3Range[0,30])^4 (* _Harvey P. Dale_, Sep 19 2011 *)

%o (Magma) [(3*n)^4: n in [0..40]]; // _Vincenzo Librandi_, Sep 07 2011

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_, Dec 11 1996