login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A075732
Fibonacci numbers F(k) for k not squarefree (A013929).
0
3, 21, 34, 144, 987, 2584, 6765, 46368, 75025, 196418, 317811, 2178309, 14930352, 102334155, 701408733, 1134903170, 4807526976, 7778742049, 12586269025, 32951280099, 86267571272, 225851433717, 1548008755920, 6557470319842
OFFSET
0,1
EXAMPLE
4 is a nonsquarefree number and Fibonacci(4)=3, 8 is a nonsquarefree number and Fibonacci(8)=21,...
MAPLE
with(combinat, fibonacci): fib_ndsk := proc(n); if (numtheory[issqrfree](n)='false') then # or # if (mobius(n)=0) then RETURN(fibonacci(n)) fi; end: seq(fib_ndsk(i), i=1..100);
MATHEMATICA
Fibonacci[#]&/@DeleteCases[Range[100], _?SquareFreeQ] (* Harvey P. Dale, Apr 20 2011 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Jani Melik, Oct 07 2002
STATUS
approved