A214221 (n^3)-th Lucas number (beginning at 2).

2, 1, 47, 439204, 23725150497407, 132878596168524201724674011, 1384619022984618483717737087933569992335566082, 481682208844384447843365760878364816732549453120338354329505085763436029

Offset: 0

Author

Jonathan Vos Post, Jul 07 2012

Keywords

• nonn
• easy

Comments

This is to A182149 (n^3)-th Fibonacci number, as A000032 is to A000045.

Examples

			a(2) = L(2^3) = L(8) = 47.
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..16

Crossrefs

Cf. A000032, A000045, A000578, A166169, A182149.

Programs

Maple

a:= n-> (<<0|1>, <1|1>>^(n^3). <<2, 1>>)[1, 1]:
seq (a(n), n=0..7);  # Alois P. Heinz, Jul 07 2012

Mathematica

f[n_] := LucasL[n^3]; Array[f, 8, 0] (* Robert G. Wilson v, Jul 07 2012 *)

Formula

a(n) = A000032(A000578(n)).

a(n) = term (1,1) in the 2 X 1 matrix [0,1; 1,1]^(n^3) * [2;1]. - Alois P. Heinz, Jul 07 2012