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A144083
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Triangle read by rows, partial sums from the right an A010892 subsequences descrescendo triangle
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1
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1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Row sums = A007859: (1, 3, 5, 6, 6, 6, 7, 9, 11,...).
n-th row = (n+1) terms of an infinitely periodic cycle: (...1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1), shifting to the right one place for the next row
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FORMULA
| Construct an A010892 descrecendo triangle: (1; 1,1; 0,1,1; -1,0,1,1;...) and take partial sums starting from the right.
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EXAMPLE
| First few rows of the triangle =
1;
2, 1;
2, 2, 1;
1, 2, 2, 1;
0, 1, 2, 2, 1;
0, 0, 1, 2, 2, 1;
1, 0, 0, 1, 2, 2, 1;
2, 1, 0, 0, 1, 2, 2, 1;
2, 2, 1, 0, 0, 1, 2, 2, 1;
1, 2, 2, 1, 0, 0, 1, 2, 2, 1;
0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1;
...
Row 3 =(1, 2, 2, 1) = partial sums of (-1, 0, 1, 1).
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CROSSREFS
| A010892, Cf. A077859
Sequence in context: A156257 A097867 A075344 * A054350 A026606 A161175
Adjacent sequences: A144080 A144081 A144082 * A144084 A144085 A144086
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 10 2008
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