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Search: id:A144083
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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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+0 2
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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; listen)
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OFFSET
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0,2
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COMMENT
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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
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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
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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
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A010892, Cf. A077859
Sequence in context: A156257 A097867 A075344 this_sequence A054350 A026606 A161175
Adjacent sequences: A144080 A144081 A144082 this_sequence A144084 A144085 A144086
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 10 2008
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