A109595 n^3 followed by n^2 followed by n.

1, 1, 1, 8, 4, 2, 27, 9, 3, 64, 16, 4, 125, 25, 5, 216, 36, 6, 343, 49, 7, 512, 64, 8, 729, 81, 9, 1000, 100, 10, 1331, 121, 11, 1728, 144, 12, 2197, 169, 13, 2744, 196, 14, 3375, 225, 15, 4096, 256, 16, 4913, 289, 17, 5832, 324, 18, 6859, 361, 19, 8000, 400, 20

Offset: 1

Author

Mohammad K. Azarian, Aug 30 2005

Keywords

• nonn

Links

• Index entries for linear recurrences with constant coefficients, signature (0, 0, 4, 0, 0, -6, 0, 0, 4, 0, 0, -1).

Crossrefs

Cf. A000463.

Cf. A010872.

Programs

Mathematica

Flatten[Table[{n^3,n^2,n},{n,20}]] (* or *) LinearRecurrence[{0,0,4,0,0,-6,0,0,4,0,0,-1},{1,1,1,8,4,2,27,9,3,64,16,4},60] (* Harvey P. Dale, Aug 22 2014 *)

Formula

a(n) = floor((n+2)/3)^((-3*(n mod 3)^2+7*(n mod 3)+2)/2). - Luce ETIENNE, Mar 01 2018