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A214221
(n^3)-th Lucas number (beginning at 2).
1
2, 1, 47, 439204, 23725150497407, 132878596168524201724674011, 1384619022984618483717737087933569992335566082, 481682208844384447843365760878364816732549453120338354329505085763436029
OFFSET
0,1
COMMENTS
This is to A182149 (n^3)-th Fibonacci number, as A000032 is to A000045.
LINKS
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
EXAMPLE
a(2) = L(2^3) = L(8) = 47.
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 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Jonathan Vos Post, Jul 07 2012
STATUS
approved