A205505 Fibonacci(n*(n+1)) / Fibonacci(n).
1, 8, 72, 2255, 166408, 33489287, 17373187209, 23735905327584, 84707858657965180, 792123204706451722511, 19386236394149894806708656, 1242293991563772001787883943693, 208405704482555536994509895576090977, 91533085042008706066658193727853843719640
Offset: 1
Programs
-
Mathematica
Table[Fibonacci[n(n+1)]/Fibonacci[n],{n,20}] (* Harvey P. Dale, Mar 30 2012 *) -
PARI
{a(n)=fibonacci(n*(n+1))/fibonacci(n)} -
PARI
{Lucas(n)=fibonacci(n-1)+fibonacci(n+1)} {a(n)=polcoeff(1/(1-Lucas(n)*x+(-1)^n*x^2+x*O(x^n)), n)}