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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.
Sequence in context: A036065 A082907 A146532 this_sequence A155869 A154338 A087436
Adjacent sequences: A119332 A119333 A119334 this_sequence A119336 A119337 A119338
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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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