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

1,4

Links

Table of n, a(n) for n=1..60.

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

Formula

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

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 *)

Crossrefs

Cf. A000463.

Cf. A010872.

Sequence in context: A173670 A337170 A050135 * A256782 A071832 A327121

Adjacent sequences: A109592 A109593 A109594 * A109596 A109597 A109598

Keyword

nonn

Author

Mohammad K. Azarian, Aug 30 2005

Status

approved