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A110622 n^2 followed by n followed by n^3 followed by n^4. 2

%I

%S 1,1,1,1,4,2,8,16,9,3,27,81,16,4,64,256,25,5,125,625,36,6,216,1296,49,

%T 7,343,2401,64,8,512,4096,81,9,729,6561,100,10,1000,10000,121,11,1331,

%U 14641,144,12,1728,20736,169,13,2197,28561,196,14,2744,38416,225,15

%N n^2 followed by n followed by n^3 followed by n^4.

%H Vincenzo Librandi, <a href="/A110622/b110622.txt">Table of n, a(n) for n = 1..8000</a>

%F a(n)= +5*a(n-4) -10*a(n-8) +10*a(n-12) -5*a(n-16) +a(n-20).

%F G.f.: -x*(1+x+x^2+x^3-x^4-3*x^5+3*x^6+11*x^7-x^8+3*x^9-3*x^10+11*x^11+x^12-x^13-x^14+x^15) / ( (x-1)^5*(1+x)^5*(x^2+1)^5 ). - _R. J. Mathar_, Dec 20 2010

%F a(n) = (2*n+3-(-1)^n+2*(-1)^((2*n+5-(-1)^n)/4))*(n^3+4*n^2+24*n+116+(n^3-4*n^2-24*n+12)*(-1)^n-(n^3+4*n^2-8*n-108)*(-1)^((2*n+5-(-1)^n)/4)+(n^3-4*n^2+8*n-20)*(-1)^((2*n+7+(-1)^n)/4))/2048. - _Luce ETIENNE_, Sep 02 2016

%t Flatten[Table[{n^2, n, n^3, n^4}, {n, 40}]] (* _Vincenzo Librandi_, Nov 25 2012 *)

%o (MAGMA) &cat[[n^2, n, n^3, n^4]: n in [1..20]]; // _Vincenzo Librandi_, Nov 25 2012

%Y Cf. A000463, A109588, A109594.

%K nonn,easy

%O 1,5

%A _Mohammad K. Azarian_, Sep 14 2005

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Last modified February 26 05:51 EST 2020. Contains 332277 sequences. (Running on oeis4.)