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Values of Fibonacci(n+1) that divides n!.
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%I #15 Apr 26 2016 08:52:31

%S 1,2,3,8,21,144,46368

%N Values of Fibonacci(n+1) that divides n!.

%C This sequence is finite.

%C See comment section of A048278 for motivation. Also see the formula section of this sequence for relation between this sequence and divisors of 24.

%C Sequence focuses on the positive values of n, so 1 only appears once as a term.

%F a(n) = A000045(A048278(n)+1) = A000045(A018253(n+1)), for n > 0.

%e 8 is a term because 8 = Fibonacci(6) and (6-1)! is divisible by 8.

%o (PARI) lista(nn) = for(n=1, nn, if(n! % fibonacci(n+1) == 0, print1(fibonacci(n+1), ", ")));

%Y Cf. A000045, A048278, A018253.

%K nonn,fini,full

%O 1,2

%A _Altug Alkan_, Apr 26 2016