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A145580
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Eigentriangle, row sums = A000930
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2
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1, 1, 1, 0, 1, 2, -1, 0, 2, 3, 0, -1, 0, 3, 4, 1, 0, -2, 0, 4, 6, 0, 1, 0, -3, 0, 6, 9, -1, 0, 2, 0, -4, 0, 9, 13, 0, -1, 0, 3, 0, -6, 0, 13, 19, 1, 0, -2, 0, 4, 0, -9, 0, 19, 28
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,6
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COMMENTS
| Row sums = A000930 starting with offset 1: (1, 1, 2, 3, 4, 6, 9, 13, 19,...).
Sum of n-th row terms = rightmost term of next row.
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FORMULA
| Let M = an infinite lower triangular matrix with (1, 1, 0, -1, 0, 1, 0, -1, 0, 1,...) in every column; and X = an infinite lower triangular matrix with A000930 as the main diagonal (offset 1): (1, 1, 2, 3, 4, 6, 9, 13, 19,...) and the rest zeros. Triangle A145580 = M * X.
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EXAMPLE
| First few rows of the triangle =
1;
1, 1;
0, 1, 2;
-1, 0, 2, 3;
0, -1, 0, 3, 4;
1, 0, -2, 0, 4, 6;
0, 1, 0, -3, 0, 6, 9;
-1, 0, 2, 0, -4, 0, 9, 13;
0, -1, 0, 3, 0, -6, 0, 13, 19;
1, 0, -2, 0, 4, 0, -9, 0, 19, 28;
...
Row 6 = (1, 0, -2, 0, 4, 6) = termwise products of (1, 0, -1, 0, 1, 1) and (1, 1, 2, 3, 4, 6).
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CROSSREFS
| A000930
Sequence in context: A189962 A097854 A161515 * A144219 A144027 A019591
Adjacent sequences: A145577 A145578 A145579 * A145581 A145582 A145583
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KEYWORD
| tabl,sign
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 13 2008
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