%I #9 Apr 11 2022 12:18:35
%S 1,6,12,12,25,12,56,48,108,150,110,12,91,168,300,192,153,108,342,300,
%T 168,330,552,48,625,546,972,168,406,300,930,768,660,306,1400,108,703,
%U 342,1092,1200,820,168,1892,660,2700,552,752,192,2744,3750,612,1092
%N Minimal m > 0 such that Fibonacci(m) == 0 (mod n^2).
%C a(n) is a divisor of the Pisano period A001175(n^2).
%F a(n) = A001177(n^2)
%e a(4)=12, since Fib(12)=144==0(mod 4^2), but Fib(k) is not congruent to 0 modulo (4^2) for 1<=k<12.
%t Join[{1}, Table[a = {0, 1}; k = 0; While[k++; s = Mod[Plus @@ a, n^2]; a = RotateLeft[a]; a[[2]] = s; a[[1]] != 0]; k, {n, 2, 60}]] (* _T. D. Noe_, Aug 08 2012 *)
%Y Cf. A000045, A001175, A001177, A130233, A130234, A131294.
%K nonn
%O 1,2
%A _Hieronymus Fischer_, Aug 24 2007