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Search: id:A119335
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| A119335 |
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Number triangle T(n,k)=sum{j=0..n-k, C(k,3j)C(n-k,3j)}. |
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+0
6
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| 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 11, 17, 11, 1, 1, 1, 1, 1, 1, 21, 41, 41, 21, 1, 1, 1, 1, 1, 1, 36, 81, 101, 81, 36, 1, 1, 1
(list; table; graph; listen)
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OFFSET
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0,25
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COMMENT
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Row sums are A119336. Product of Pascal's triangle and A119337.
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FORMULA
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Column k has g.f. (x^k/(1-x))*sum{j=0..k, C(k,3j)(x/(1-x))^(3j)}
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EXAMPLE
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Triangle begins
1,
1, 1,
1, 1, 1,
1, 1, 1, 1,
1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1,
1, 1, 1, 2, 1, 1, 1,
1, 1, 1, 5, 5, 1, 1, 1,
1, 1, 1, 11, 17, 11, 1, 1, 1,
1, 1, 1, 21, 41, 41, 21, 1, 1, 1,
1, 1, 1, 36, 81, 101, 81, 36, 1, 1, 1
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CROSSREFS
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Cf. A119326.
Adjacent sequences: A119332 A119333 A119334 this_sequence A119336 A119337 A119338
Sequence in context: A135303 A036065 A082907 this_sequence A087436 A053255 A085856
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), May 14 2006
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