A096424 a(1)=a(2)=1, a(n) = (a(n-2)+F(n-2)) * (a(n-1)+F(n-1)) for n > 2 where F(i) is the i-th Fibonacci no.

1, 1, 4, 12, 90, 1425, 136135, 195100084, 26562489095540, 5182344411607842435270, 137655966922842171797061456838751550, 713380630907065135419001299147560152192298801082595247675

Offset

1,3

Comments

The terms have an interesting factorization pattern, often sharing factors.

Links

Table of n, a(n) for n=1..12.

Mathematica

nxt[{n_, a_, b_}]:={n+1, b, (a+Fibonacci[n-1])(b+Fibonacci[n])}; Join[{1}, Transpose[ NestList[nxt, {2, 1, 1}, 10]][[3]]] (* Harvey P. Dale, Jun 16 2016 *)

Crossrefs

Sequence in context: A064280 A203379 A209031 * A009629 A203110 A197919

Adjacent sequences: A096421 A096422 A096423 * A096425 A096426 A096427

Keyword

nonn

Author

Gerald McGarvey, Aug 08 2004

Status

approved