A109815 n^2 followed by n^3 followed by n.

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

G.f.: x*(1+x+x^2+4*x^4-2*x^5-x^6+x^7+x^8) / ( (x-1)^4*(1+x+x^2)^4 ). - R. J. Mathar, Mar 03 2014

a(n) = floor((n+2)/3)^((n mod 3)+1). - Luce ETIENNE, Mar 01 2018

Mathematica

Table[{n^2, n^3, n}, {n, 20}]//Flatten (* or *) LinearRecurrence[{0, 0, 4, 0, 0, -6, 0, 0, 4, 0, 0, -1}, {1, 1, 1, 4, 8, 2, 9, 27, 3, 16, 64, 4}, 60] (* Harvey P. Dale, May 26 2018 *)

Crossrefs

Cf. A000463.

Cf. A010872.

Sequence in context: A011516 A088609 A163813 * A372297 A339571 A110653

Adjacent sequences: A109812 A109813 A109814 * A109816 A109817 A109818

Keyword

nonn,easy

Author

Mohammad K. Azarian, Aug 30 2005

Status

approved