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 A171063 Table read by antidiagonals: T(n,m)=number of nonzero period n solutions of x(i)=(x(i-1)+x(i-2)) mod m (n>=1, m>=1). 3

%I

%S 0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,3,4,0,0,

%T 0,0,0,0,0,0,0,15,0,0,0,0,0,3,0,0,0,0,8,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,

%U 3,0,0,0,0,4,3,0,0,0,0,0,0,4,0,15,0,8,0,0,0,3,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0

%N Table read by antidiagonals: T(n,m)=number of nonzero period n solutions of x(i)=(x(i-1)+x(i-2)) mod m (n>=1, m>=1).

%H R. H. Hardin, <a href="/A171063/b171063.txt">Table of n, a(n) for n=1..64261</a>

%e Table starts

%e 0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0

%e 0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0

%e 0...3...0...3...0...3...0...3...0...3...0...3...0...3...0...3...0...3...0

%e 0...0...0...0...4...0...0...0...0...4...0...0...0...0...4...0...0...0...0

%e 0...0...0...0...0...0...0...0...0...0..10...0...0...0...0...0...0...0...0

%e 0...3...0..15...0...3...0..15...0...3...0..15...0...3...0..15...0...3...0

%e 0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0

%e 0...0...8...0...4...8...0...0...8...4...0...8...0...0..44...0...0...8...0

%e 0...3...0...3...0...3...0...3...0...3...0...3...0...3...0...3...0...3..18

%e 0...0...0...0...0...0...0...0...0...0.120...0...0...0...0...0...0...0...0

%e 0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0

%e 0...3...0..15...4...3...0..63...0..19...0..15...0...3...4..63...0...3...0

%e 0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0

%e 0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0

%e 0...3...0...3...0...3...0...3...0...3..10...3...0...3...0...3...0...3...0

%e 0...0...8...0...4...8..48...0...8...4...0...8...0..48..44...0...0...8...0

%e 0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0

%e 0...3...0..15...0...3...0..15...0...3...0..15...0...3...0..15...0...3.360

%e 0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0

%e 0...0...0...0..24...0...0...0...0..24.120...0...0...0..24...0...0...0...0

%e For n=12, m=10 there are 19 (including shifted multiplicities):

%e 1: 0 5 5 0 5 5 0 5 5 0 5 5

%e 2: 5 0 5 5 0 5 5 0 5 5 0 5

%e 3: 5 5 0 5 5 0 5 5 0 5 5 0

%e 4: 1 3 4 7 1 8 9 7 6 3 9 2

%e 5: 1 8 9 7 6 3 9 2 1 3 4 7

%e 6: 6 3 9 2 1 3 4 7 1 8 9 7

%e 7: 6 8 4 2 6 8 4 2 6 8 4 2

%e 8: 2 1 3 4 7 1 8 9 7 6 3 9

%e 9: 2 6 8 4 2 6 8 4 2 6 8 4

%e 10: 7 1 8 9 7 6 3 9 2 1 3 4

%e 11: 7 6 3 9 2 1 3 4 7 1 8 9

%e 12: 4 2 6 8 4 2 6 8 4 2 6 8

%e 13: 4 7 1 8 9 7 6 3 9 2 1 3

%e 14: 9 2 1 3 4 7 1 8 9 7 6 3

%e 15: 9 7 6 3 9 2 1 3 4 7 1 8

%e 16: 3 4 7 1 8 9 7 6 3 9 2 1

%e 17: 3 9 2 1 3 4 7 1 8 9 7 6

%e 18: 8 4 2 6 8 4 2 6 8 4 2 6

%e 19: 8 9 7 6 3 9 2 1 3 4 7 1

%K nonn,tabl

%O 1,9

%A _R. H. Hardin_ Sep 05 2010

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Last modified September 25 11:52 EDT 2020. Contains 337341 sequences. (Running on oeis4.)