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Search: id:A144029
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| 1, -2, 1, -3, -2, -1, 0, -3, 2, -6, -5, 0, 3, 12, -7, 6, -5, 0, 18, 14, 3, -7, 6, 5, 0, 21, -6, 36, 0, -7, -6, 30, 0, -9, -72, 55, 0, 0, 7, -36, 35, 0, -108, -110, -9, 10, 0, 0, 42, -42, -15, 0, -165, 18, -203, -11, 10, 0, 0, 49, 18, -180, 0, 27, 406, -355
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Row sums = A144028. Right border = A144028 shifted.
Left border = A055615, n*mu(n).
Sum of n-th row terms = rightmost term of next row.
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FORMULA
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Eigentriangle by rows, A055615(n-k+1)*A144028(k-1); 1<=k<=n
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EXAMPLE
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First few rows of the triangle =
1;
-2, 1;
-3, -2, -1;
0, -3, 2, -6;
-5, 0, 3, 12, -7;
6, -5, 0, 18, 14, 3;
-7, 6, 5, 0, 21, -6, 36;
0, -7, -6, 30, 0, -9, -72, 55;
0, 0, 7, -36, 35, 0, -108, -110, -9;
10, 0, 0, 42, -42, -15, 0, -165, 18, -203;
...
Row 4 = (0, -3, 2, -6) = termwise products of (0, -3, -2, 1) and (1, 1, -1, -6) = (0*1, -3*1, -2*-1, 1*(-6)). (0, -3, -2, 1) = the first 4 terms of
A055615, n*mu(n), reversed.
(1, 1, -1, 6) = the first 4 terms A144028, shifted.
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CROSSREFS
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A055615, Cf. A144028
Sequence in context: A057082 A096642 A020779 this_sequence A166949 A114890 A145327
Adjacent sequences: A144026 A144027 A144028 this_sequence A144030 A144031 A144032
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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), Sep 07 2008
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