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A075738 Square-free Fibonacci numbers whose indices are also square-free. +0
2
1, 1, 2, 5, 13, 55, 89, 233, 377, 610, 1597, 4181, 10946, 17711, 28657, 121393, 514229, 1346269, 3524578, 5702887, 9227465, 24157817, 39088169, 63245986, 165580141, 433494437, 1836311903, 2971215073, 20365011074, 53316291173 (list; graph; listen)
OFFSET

1,3

EXAMPLE

Fib(10)=55 is there because both 10 and 55 are square-free.

MAPLE

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

CROSSREFS

Cf. A000045, A005117, A061305, A075739.

Sequence in context: A059103 A112836 A105905 this_sequence A076999 A028856 A013497

Adjacent sequences: A075735 A075736 A075737 this_sequence A075739 A075740 A075741

KEYWORD

easy,nonn

AUTHOR

Jani Melik (jani_melik(AT)hotmail.com), Oct 07 2002

EXTENSIONS

Edited by Don Reble (djr(AT)nk.ca), Nov 05 2005

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Last modified September 7 23:08 EDT 2008. Contains 143486 sequences.


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