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Search: id:A118978
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| A118978 |
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Triangle generated from A118978 (Pascal's triangle without 1's). |
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+0
1
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| 2, 3, 2, 4, 6, 2, 5, 10, 9, 2, 6, 15, 20, 12, 2, 7, 21, 35, 34, 15, 2, 8, 28, 56, 70, 52, 18, 1, 9, 36, 84, 126, 125, 74, 21, 2
(list; table; graph; listen)
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OFFSET
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1,1
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FORMULA
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Given the truncated Pascal's Triangle (without 1's) of A118978 in rows of n terms: (2), (3,3), (4,6,4)...; we generate an array by taking binomial transforms of such rows; then take the antidiagonals.
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EXAMPLE
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First few rows of the array are:
2, 2, 2, 2, 2,...
3, 6, 9, 12, 15,...
4, 10, 20, 34, 52,...
5, 15, 35, 70, 125,...
...
First few rows of the triangle are:
2;
3, 2;
4, 6, 2;
5, 10, 9, 2;
6, 15, 20, 12, 2;
7, 21, 35, 34, 15, 2;
...
Binomial transform of (4,6,4) of A118978 = row 3 of the array: (4, 10, 20, 34,...).
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CROSSREFS
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Cf. A118978.
Sequence in context: A008666 A140503 A043263 this_sequence A006047 A062068 A130542
Adjacent sequences: A118975 A118976 A118977 this_sequence A118979 A118980 A118981
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KEYWORD
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nonn,tabl,uned
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), May 07 2006
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