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A341829
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Irregular triangle read by rows: the n-th row gives the x-values of the solutions of the equation x*(y - 1) + (2*x - y - 1)*(x mod 2) = 2*n for 0 < x <= y.
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3
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2, 2, 2, 2, 3, 2, 3, 2, 3, 4, 2, 3, 2, 3, 4, 2, 3, 2, 3, 4, 2, 3, 2, 3, 4, 5, 2, 3, 2, 3, 4, 5, 2, 3, 6, 2, 3, 4, 5, 2, 3, 2, 3, 4, 5, 6, 2, 3, 2, 3, 4, 5, 2, 3, 6, 2, 3, 4, 5, 2, 3, 2, 3, 4, 5, 6, 7, 2, 3, 2, 3, 4, 5, 2, 3, 6, 7, 2, 3, 4, 5, 8, 2, 3, 2, 3, 4, 5, 6, 7
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OFFSET
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1,1
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COMMENTS
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Equivalently, the n-th row gives the column indices corresponding to 2*n + 1 in the triangle A340804.
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LINKS
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EXAMPLE
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Triangle begins:
2
2
2
2 3
2 3
2 3 4
2 3
2 3 4
2 3
2 3 4
2 3
2 3 4 5
2 3
2 3 4 5
2 3 6
2 3 4 5
2 3
2 3 4 5 6
...
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MATHEMATICA
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Table[Union[2Intersection[Divisors[n], Table[d, {d, Floor[(1+Sqrt[1+8n])/4]}]], 2Intersection[Divisors[n], Table[d, {d, Floor[(Sqrt[1+2n]-1)/2]}]]+1], {n, 30}]//Flatten
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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