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1, 0, 1, 3, -2, 1, 1, 4, -3, 1, 5, -3, 6, -4, 1, 5, 5, -9, 10, -5, 1, 11, -6, 16, -20, 15, -6, 1, 10, 12, -23, 36, -35, 21, -7, 1, 20, -5, 27, -55, 70, -56, 28, -8, 1, 24, 11, -31, 81, -125, 126, -84, 36, -9, 1, 38, -9, 51, -123, 211, -252, 210, -120, 45, -10, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,4
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COMMENTS
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Row sums = the partition numbers, A000041: (1, 1, 2, 3, 5, 7, 11, 15, 22, ...).
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LINKS
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Table of n, a(n) for n=0..65.
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FORMULA
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As an infinite lower triangular matrix, A026794 * the inverse of Pascal's triangle.
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EXAMPLE
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First few rows of the triangle:
1;
0, 1;
3, -2, 1;
1, 4, -3, 1;
5, -3, 6, -4, 1;
5, 5, -9, 10, -5, 1;
...
T(3,1) = -3 = (0, 0, 1, -3) dot (3, 1, 0, 1) = (0, 0, 0, -3).
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CROSSREFS
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Cf. A000041, A026794.
Sequence in context: A239938 A097794 A275494 * A329231 A259341 A350733
Adjacent sequences: A137680 A137681 A137682 * A137684 A137685 A137686
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KEYWORD
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tabl,sign
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AUTHOR
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Gary W. Adamson, Feb 05 2008
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STATUS
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approved
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