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A132632 Minimal m > 0 such that Fibonacci(m) == 0 (mod n^2). 5
1, 6, 12, 12, 25, 12, 56, 48, 108, 150, 110, 12, 91, 168, 300, 192, 153, 108, 342, 300, 168, 330, 552, 48, 625, 546, 972, 168, 406, 300, 930, 768, 660, 306, 1400, 108, 703, 342, 1092, 1200, 820, 168, 1892, 660, 2700, 552, 752, 192, 2744, 3750, 612, 1092 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
a(n) is a divisor of the Pisano period A001175(n^2).
LINKS
FORMULA
a(n) = A001177(n^2)
EXAMPLE
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.
MATHEMATICA
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 *)
CROSSREFS
Sequence in context: A183688 A298016 A055595 * A223352 A063648 A331209
KEYWORD
nonn
AUTHOR
Hieronymus Fischer, Aug 24 2007
STATUS
approved

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Last modified March 28 07:20 EDT 2024. Contains 371235 sequences. (Running on oeis4.)