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A119355
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Triangle generated from binomial transforms of (1; 2, 3; 3, 4, 5; ...).
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0
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1, 2, 1, 3, 5, 1, 4, 7, 8, 1, 5, 9, 16, 11, 1, 6, 11, 20, 30, 14, 1, 7, 13, 24, 44, 49, 17, 1, 8, 15, 28, 52, 88, 73, 20, 1, 9, 17, 32, 60, 103, 159, 102, 23, 1
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OFFSET
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1,2
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LINKS
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FORMULA
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Take antidiagonals of an array generated by taking binomial transforms of (1; 2, 3; 3, 4, 5; 4, 5, 6, 7; ...)
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EXAMPLE
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First few rows of the array are:
1, 1, 1, 1, ...
2, 5, 8, 11, ...
3, 7, 16, 30, ...
4, 9, 20, 44, ...
...
First few rows of the triangle are:
1;
2, 1;
3, 5, 1;
4, 7, 8, 1;
5, 9, 16, 11, 1;
6, 11, 20, 30, 14, 1;
7, 13, 24, 44, 49, 17, 1;
...
Example: The diagonal 3, 7, 16, 30, 49, ... (third row of the array) = binomial transform of (3, 4, 5, 0, 0, 0, ...).
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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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