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Search: id:A113793
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| A113793 |
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A symmetrical triangle of weight coefficients using the Euler totient function: t(n,m)=EulerPhi[n - m + 1]*EulerPhi[m + 1]. |
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+0
1
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| 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 2, 4, 2, 4, 2, 4, 4, 4, 4, 2, 6, 2, 8, 4, 8, 2, 6, 4, 6, 4, 8, 8, 4, 6, 4, 6, 4, 12, 4, 16, 4, 12, 4, 6, 4, 6, 8, 12, 8, 8, 12, 8, 6, 4, 10, 4, 12, 8, 24, 4, 24, 8, 12, 4, 10
(list; table; graph; listen)
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OFFSET
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1,4
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COMMENT
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Row sums are:
{1, 2, 5, 8, 16, 20, 36, 44, 68, 76, 120}
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FORMULA
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t(n,m)=EulerPhi[n - m + 1]*EulerPhi[m + 1].
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EXAMPLE
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{1},
{1, 1},
{2, 1, 2},
{2, 2, 2, 2},
{4, 2, 4, 2, 4},
{2, 4, 4, 4, 4, 2},
{6, 2, 8, 4, 8, 2, 6},
{4, 6, 4, 8, 8, 4, 6, 4},
{6, 4, 12, 4, 16, 4, 12, 4, 6},
{4, 6, 8, 12, 8, 8, 12, 8, 6, 4},
{10, 4, 12, 8, 24, 4, 24, 8, 12, 4, 10}
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MATHEMATICA
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t[n_, m_] = EulerPhi[n - m + 1]*EulerPhi[m + 1]; Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%]
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CROSSREFS
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Cf. A000010.
Adjacent sequences: A113790 A113791 A113792 this_sequence A113794 A113795 A113796
Sequence in context: A105223 A025859 A031281 this_sequence A083552 A078704 A032358
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KEYWORD
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nonn,tabl
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AUTHOR
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Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Aug 25 2008
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