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A053029
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Numbers with 4 zeros in Fibonacci numbers mod m.
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21
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5, 10, 13, 17, 25, 26, 34, 37, 50, 53, 61, 65, 73, 74, 85, 89, 97, 106, 109, 113, 122, 125, 130, 137, 146, 149, 157, 169, 170, 173, 178, 185, 193, 194, 197, 218, 221, 226, 233, 250, 257, 265, 269, 274, 277, 289, 293, 298, 305, 313, 314, 317, 325, 337, 338, 346
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OFFSET
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1,1
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COMMENTS
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Conjecture: m is on this list iff m is an odd number all of whose factors are on this list or m is twice such an odd number.
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LINKS
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PROG
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(Haskell)
a053029 n = a053029_list !! (n-1)
a053029_list = filter ((== 4) . a001176) [1..]
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CROSSREFS
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Let {x(n)} be a sequence defined by x(0) = 0, x(1) = 1, x(n+2) = m*x(n+1) + x(n). Let w(k) be the number of zeros in a fundamental period of {x(n)} modulo k.
| m=1 | m=2 | m=3
-----------------------------+----------+---------+---------
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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