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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
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OFFSET
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1,6
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COMMENTS
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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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LINKS
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FORMULA
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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
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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
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KEYWORD
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AUTHOR
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STATUS
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approved
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