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A324605
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Triangle read by rows: T(n,k) is the number of maximal-length non-intersecting loops starting at (0,0) on the n X k torus consisting of steps up and to the right, 1 <= k <= n.
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0
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2, 1, 2, 1, 5, 6, 1, 2, 11, 8, 1, 9, 14, 19, 30, 1, 2, 3, 2, 29, 12, 1, 13, 76, 27, 99, 41, 126, 1, 2, 23, 8, 171
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OFFSET
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1,1
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COMMENTS
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Conjecture: T(2n,2) = 2 for all n.
Conjecture: T(2n+1,2) = 4n+1 for all n.
Conjecture: T(n,n) = A056188(n) for n > 1.
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LINKS
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FORMULA
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T(1,n) = 1 for n > 1.
T(n,n) is even for all n.
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EXAMPLE
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Table begins:
2;
1, 2;
1, 5, 6;
1, 2, 11, 8;
1, 9, 14, 19, 30;
1, 2, 3, 2, 29, 12;
1, 13, 76, 27, 99, 41, 126;
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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