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A268916
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Denominators of the rational number triangle R(m, a) = -(m^2 - 6*m*a + a^2)/(12*m), m >= 1, a = 1, ..., m.
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4
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12, 12, 6, 12, 12, 4, 24, 6, 24, 3, 60, 60, 60, 60, 12, 12, 6, 4, 6, 12, 2, 84, 84, 84, 84, 84, 84, 12, 48, 12, 48, 3, 48, 12, 48, 3, 36, 36, 4, 36, 36, 4, 36, 36, 4, 60, 30, 60, 30, 12, 30, 60, 30, 60, 6, 132, 132, 132, 132, 132, 132, 132, 132, 132, 132, 12, 24, 6, 8, 3, 24, 2, 24, 3, 8, 6, 24, 1
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OFFSET
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1,1
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COMMENTS
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For details and the Hurwitz reference see A267863.
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LINKS
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FORMULA
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T(m, a) = denominator(R(m, a)) with R(m, a) = -(m^2 - 6*m*a + a^2)/(12*m), m >= 1, a = 1, ..., m.
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EXAMPLE
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The triangle T(m, a) begins:
m\a 1 2 3 4 5 6 7 8 9 10 11
1: 12
2: 12 6
3: 12 12 4
4: 24 6 24 3
5: 60 60 60 60 12
6: 12 6 4 6 12 2
7: 84 84 84 84 84 84 12
8: 48 12 48 3 48 12 48 3
9: 36 36 4 36 36 4 36 36 4
10: 60 30 60 30 12 30 60 30 60 6
11: 132 132 132 132 132 132 132 132 132 132 12
12: 24 6 8 3 24 2 24 3 8 6 24 1
...
For the triangle of the rationals R(m, a) see A268915.
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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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