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A267864
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Denominator triangle for A267863: T(m, a) = denominator((m - 2*a)/(2*m)), m >= 1, a = 1, ..., m.
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4
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2, 1, 2, 6, 6, 2, 4, 1, 4, 2, 10, 10, 10, 10, 2, 3, 6, 1, 6, 3, 2, 14, 14, 14, 14, 14, 14, 2, 8, 4, 8, 1, 8, 4, 8, 2, 18, 18, 6, 18, 18, 6, 18, 18, 2, 5, 10, 5, 10, 1, 10, 5, 10, 5, 2, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 2, 12, 3, 4, 6, 12, 1, 12, 6, 4, 3, 12, 2
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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((m - 2*a)/(2*m)), m >= 1, a = 1, ..., m.
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EXAMPLE
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The triangle begins:
m\a 1 2 3 4 5 6 7 8 9 10 ...
1: 2
2: 1 2
3: 6 6 2
4: 4 1 4 2
5: 10 10 10 10 2
6: 3 6 1 6 3 2
7: 14 14 14 14 14 14 2
8: 8 4 8 1 8 4 8 2
9: 18 18 6 18 18 6 18 18 2
10: 5 10 5 10 1 10 5 10 5 2
...
For the beginning of the rational triangle R(m, a) see A267863.
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MATHEMATICA
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R[m_, a_] := HurwitzZeta[0, a/m]; (* or *) R[m_, a_] := (m - 2*a)/(2*m); Table[R[m, a] // Denominator, {m, 1, 12}, {a, 1, m}] // Flatten (* Jean-François Alcover, Feb 26 2016 *)
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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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