|
Search: id:A075742
|
|
|
| A075742 |
|
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). |
|
+0
1
|
|
| 2, 5, 13, 89, 233, 1597, 28657, 514229, 24157817, 433494437, 2971215073, 44945570212853, 190392490709135, 99194853094755497, 83621143489848422977, 1500520536206896083277, 3928413764606871165730
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
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 square-free 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 square-free, ...
|
|
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:
|
|
CROSSREFS
|
Cf. A000045, A030059, A074691.
Sequence in context: A032015 A075736 A030426 this_sequence A075737 A100843 A082101
Adjacent sequences: A075739 A075740 A075741 this_sequence A075743 A075744 A075745
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Jani Melik (jani_melik(AT)hotmail.com), Oct 07 2002
|
|
|
Search completed in 0.002 seconds
|
