%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(i1)+x(i2)) 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
