A109816 n^2 followed by n followed by n^3.

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

Offset

1,4

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

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

Formula

From Chai Wah Wu, Jul 16 2016: (Start)

a(n) = 4*a(n-3) - 6*a(n-6) + 4*a(n-9) - a(n-12) for n > 12.

G.f.: x*(x^8 + x^7 - x^6 + 4*x^5 - 2*x^4 + x^2 + x + 1)/((x - 1)^4*(x^2 + x + 1)^4). (End)

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

Mathematica

Table[{n^2, n, n^3}, {n, 20}] // Flatten (* Bruno Berselli, Sep 01 2016 *)

Prog

(Magma) &cat[[n^2, n, n^3]: n in [1..20]]; // Bruno Berselli, Sep 01 2016

Crossrefs

Cf. A000463.

Cf. A010872.

Sequence in context: A265291 A195777 A125065 * A296477 A292964 A050128

Adjacent sequences: A109813 A109814 A109815 * A109817 A109818 A109819

Keyword

nonn,easy

Author

Mohammad K. Azarian, Aug 30 2005

Status

approved