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A075731 Fibonacci numbers F(k) for k squarefree (A005117). 1

%I #4 Mar 31 2012 14:39:59

%S 1,1,2,5,8,13,55,89,233,377,610,1597,4181,10946,17711,28657,121393,

%T 514229,832040,1346269,3524578,5702887,9227465,24157817,39088169,

%U 63245986,165580141,267914296,433494437,1836311903,2971215073

%N Fibonacci numbers F(k) for k squarefree (A005117).

%e 10 is squarefree and fibonacci(10)=55, 11 is squarefree and fibonacci(11)=89.

%p with(combinat, fibonacci): fib_dsk := proc(n); if (numtheory[issqrfree](n)='true') then RETURN(fibonacci(n)); fi; end: seq(fib_dsk(i), i=1..100);

%Y Cf. A000045, A005117, A061305.

%K easy,nonn

%O 1,3

%A _Jani Melik_, Oct 07 2002

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