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

1, 1, 2, 5, 8, 13, 55, 89, 233, 377, 610, 1597, 4181, 10946, 17711, 28657, 121393, 514229, 832040, 1346269, 3524578, 5702887, 9227465, 24157817, 39088169, 63245986, 165580141, 267914296, 433494437, 1836311903, 2971215073

Offset: 1

Author

Jani Melik, Oct 07 2002

Keywords

• easy
• nonn

Examples

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

Crossrefs

Cf. A000045, A005117, A061305.

Programs

Maple

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);