A016768 (3*n)^4.

0, 81, 1296, 6561, 20736, 50625, 104976, 194481, 331776, 531441, 810000, 1185921, 1679616, 2313441, 3111696, 4100625, 5308416, 6765201, 8503056, 10556001, 12960000, 15752961, 18974736, 22667121, 26873856, 31640625, 37015056, 43046721, 49787136, 57289761

Offset: 0

Author

N. J. A. Sloane, Dec 11 1996

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..10000
• Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Programs

Magma

[(3*n)^4: n in [0..40]]; // Vincenzo Librandi, Sep 07 2011

Maple

A016768:=n->(3*n)^4; seq(A016768(n), n=0..40); # Wesley Ivan Hurt, May 10 2014

Mathematica

(3Range[0,30])^4 (* Harvey P. Dale, Sep 19 2011 *)

Formula

a(n) = A000583(3n) = 81*A000583(n) = A008585(n)^4. - Wesley Ivan Hurt, May 10 2014

G.f.: -81*x*(1+x)*(x^2+10*x+1) / (x-1)^5. - R. J. Mathar, May 14 2014