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%I #14 Jan 12 2020 19:52:14
%S 1,1,1,1,2,4,16,8,3,9,81,27,4,16,256,64,5,25,625,125,6,36,1296,216,7,
%T 49,2401,343,8,64,4096,512,9,81,6561,729,10,100,10000,1000,11,121,
%U 14641,1331,12,144,20736,1728,13,169,28561,2197,14,196,38416,2744,15,225
%N n followed by n^2 followed by n^4 followed by n^3.
%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 5, 0, 0, 0, -10, 0, 0, 0, 10, 0, 0, 0, -5, 0, 0, 0, 1).
%F G.f.: x*(-1 -x -x^2 -x^3 +3*x^4 +x^5 -11*x^6 -3*x^7 -3*x^8 +x^9 -11*x^10 +3*x^11 +x^12 -x^13 -x^14 +x^15) / ( (x-1)^5 *(1+x)^5 *(x^2+1)^5 ). - _R. J. Mathar_, Sep 10 2016
%F a(n) = floor((n+3)/4)^((-2*(n mod 4)^3 + 15*(n mod 4)^2 -25*(n mod 4) +18)/6). - _Luce ETIENNE_, Apr 07 2018
%t Table[{n,n^2,n^4,n^3},{n,20}]//Flatten (* _Harvey P. Dale_, Jan 12 2020 *)
%Y Cf. A000463; A109588; A109594.
%Y Cf. A010873.
%K nonn
%O 1,5
%A _Mohammad K. Azarian_, Sep 02 2005
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