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a(n) is the smallest k>=2 such that n divides Fibonacci(k-1)+5, or zero if no such k exists.
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%I #14 Jul 18 2020 11:47:23

%S 2,2,2,5,6,2,4,5,8,6,0,11,7,14,11,17,14,8,0,11,0,0,20,0,46,9,32,0,0,

%T 11,17,17,0,14,36,0,34,0,10,41,16,0,23,0,56,20,12,0,52,56,24,35,50,32,

%U 0,0,0,0,0,11,26,17,0,65

%N a(n) is the smallest k>=2 such that n divides Fibonacci(k-1)+5, or zero if no such k exists.

%e The zero for n=11 means that no term is divisible by 11.

%e This is the entry sequence for 2,3,4,5,...

%Y Cf. A157729, A214781

%K nonn

%O 1,1

%A _Art DuPre_, Aug 03 2012

%E Definition and example corrected. - _R. J. Mathar_, Aug 09 2012

%E Definition clarified by _Harvey P. Dale_, Jul 18 2020