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Search: id:A143255
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| 1, -2, -1, -3, 0, -1, 0, 0, 0, 0, -5, 0, 0, 0, -1, 6, 3, 2, 0, 0, 1, -7, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 5, 0, 0, 2, 0, 0, 0, 0, 1, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 14, 7, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Left border = A055615: (1, -2, -3, 0, -5, 6, -7,...).
Right border = A008683, mu(n).
Row sums = A063441: (1, -3, -4, 0, -6, 12, 8,...).
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FORMULA
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Triangle read by rows, A128407 * A126988; 1<=k<=n
t(n,m)=MoebiusMu[n]*A126988(n,m); t(n,m)=MoebiusMu[n]*If[m == 1, n, If[Mod[n, m] == 0, n/m, 0]]. - Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Sep 06 2008
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EXAMPLE
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First few rows of the triangle =
1;
-2, -1;
-3, 0, -1;
0, 0, 0, 0;
-5, 0, 0, 0, -1;
6, 3, 2, 0, 0, 1;
-7, 0, 0, 0, 0, 0, -1;
0, 0, 0, 0, 0, 0, 0, 0;
0, 0, 0, 0, 0, 0, 0, 0, 0;
10, 5, 0, 0, 2, 0, 0, 0, 0, 1;
...
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MATHEMATICA
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t[n_, m_] = MoebiusMu[n]*If[m == 1, n, If[Mod[n, m] == 0, n/m, 0]]; Table[Table[t[n, m], {m, 1, n}], {n, 1, 10}]; Flatten[%] - Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Sep 06 2008
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CROSSREFS
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Cf. A008683, A063441, A055615, A128407, A126988.
Cf. A128988.
Sequence in context: A010249 A002431 A062963 this_sequence A127139 A166139 A157929
Adjacent sequences: A143252 A143253 A143254 this_sequence A143256 A143257 A143258
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KEYWORD
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tabl,sign
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 02 2008
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