A166169 a(n) = Lucas(n^2) = A000204(n^2) for n >= 1.

1, 7, 76, 2207, 167761, 33385282, 17393796001, 23725150497407, 84722519070079276, 792070839848372253127, 19386725908489881939795601, 1242282009792667284144565908482, 208406472252232726621841472637412401

Offset

1,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..35

Formula

Logarithmic derivative of A166168.

a(n) = ((1 + sqrt(5))/2)^(n^2) + ((1 - sqrt(5))/2)^(n^2).

a(n) = Fibonacci(n^2 - 1) + Fibonacci(n^2 + 1).

Mathematica

Table[LucasL[n^2], {n, 1, 10}] (* G. C. Greubel, May 06 2016 *)

Prog

(PARI) a(n)=fibonacci(n^2-1)+fibonacci(n^2+1)
(Magma) [ Lucas(n^2) : n in [1..50]]; // Vincenzo Librandi, Apr 14 2011

Crossrefs

Cf. A166168, A000204, A000045.

Sequence in context: A337595 A215515 A215518 * A284068 A153688 A059195

Adjacent sequences: A166166 A166167 A166168 * A166170 A166171 A166172

Keyword

nonn

Author

Paul D. Hanna, Oct 08 2009

Status

approved