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A075742
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Fibonacci numbers, which are the product of an odd number of distinct primes for numbers with the same property (mu(n)=mu(fibonacci(n)=-1).
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0
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2, 5, 13, 89, 233, 1597, 28657, 514229, 24157817, 433494437, 2971215073, 44945570212853, 190392490709135, 99194853094755497, 83621143489848422977, 1500520536206896083277, 3928413764606871165730
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| 11 is a prime and fibonacci(11)=89 is a prime, 13 is a prime and fibonacci(13)=233 is a prime, but fibonacci(16)=987=3*7*47 and 16 is not squarefree and 30=2*3*5 is the product of an odd number of distinct primes but fibonacci(30)=832040=2^3*5*11*31*61 is not squarefree, ...
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MAPLE
| with(combinat, fibonacci): m2_supM_fib := proc(n); if (numtheory[mobius](n)=-1) then if (numtheory[mobius](fibonacci(n))=-1) then RETURN(fibonacci(n)); fi; fi; end:
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CROSSREFS
| Cf. A000045, A030059, A074691.
Sequence in context: A032015 A075736 A030426 * A075737 A100843 A082101
Adjacent sequences: A075739 A075740 A075741 * A075743 A075744 A075745
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KEYWORD
| easy,nonn
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AUTHOR
| Jani Melik (jani_melik(AT)hotmail.com), Oct 07 2002
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