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A341830
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Irregular triangle read by rows: the n-th row gives the y-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, 3, 4, 3, 5, 4, 6, 4, 5, 7, 6, 8, 5, 7, 9, 8, 10, 6, 9, 11, 10, 12, 5, 7, 11, 13, 12, 14, 6, 8, 13, 15, 6, 14, 16, 7, 9, 15, 17, 16, 18, 7, 8, 10, 17, 19, 18, 20, 9, 11, 19, 21, 8, 20, 22, 10, 12, 21, 23, 22, 24, 7, 9, 11, 13, 23, 25, 24, 26, 12, 14, 25, 27, 8, 10, 26, 28
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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 row 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
3
4
3 5
4 6
4 5 7
6 8
5 7 9
8 10
6 9 11
10 12
5 7 11 13
12 14
6 8 13 15
6 14 16
7 9 15 17
16 18
7 8 10 17 19
...
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MATHEMATICA
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Table[Union[n/Intersection[Divisors[n], Table[d, {d, Floor[(1+Sqrt[1+8n])/4]}]]+1, n/Intersection[Divisors[n], Table[d, {d, Floor[(Sqrt[1+2n]-1)/2]}]]-1], {n, 27}]//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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