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A114116
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1's-counting matrix: row sums give number of 1's in binary expansion of n+1.
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2
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1, 0, 1, 2, -1, 1, -1, 2, -1, 1, 1, 0, 1, -1, 1, 1, 0, 0, 1, -1, 1, 3, -2, 2, -1, 1, -1, 1, -2, 3, -2, 2, -1, 1, -1, 1, 0, 1, 0, 0, 1, -1, 1, -1, 1, 0, 1, 0, 0, 0, 1, -1, 1, -1, 1, 2, -1, 2, -2, 2, -1, 1, -1, 1, -1, 1, 0, 1, -1, 2, -2, 2, -1, 1, -1, 1, -1, 1, 2, -1, 1, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, 2, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, 4, -3, 3, -2, 2
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| First column is -A037861(n+1). Row sums are A000120. Product of partial sum matrix (1/(1-x),x) and A114115. Inverse is A114117.
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EXAMPLE
| Triangle begins
1;
0, 1;
2,-1, 1;
-1, 2,-1, 1;
1, 0, 1,-1, 1;
1, 0, 0, 1,-1, 1;
3,-2, 2,-1, 1,-1, 1;
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CROSSREFS
| Sequence in context: A112400 A116861 A105242 * A054532 A120888 A031230
Adjacent sequences: A114113 A114114 A114115 * A114117 A114118 A114119
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KEYWORD
| sign,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Nov 13 2005
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