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Search: id:A116412
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| A116412 |
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Riordan array ((1+x)/(1-2x),x(1+x)/(1-2x)). |
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+0
3
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| 1, 3, 1, 6, 6, 1, 12, 21, 9, 1, 24, 60, 45, 12, 1, 48, 156, 171, 78, 15, 1, 96, 384, 558, 372, 120, 18, 1, 192, 912, 1656, 1473, 690, 171, 21, 1, 384, 2112, 4608, 5160, 3225, 1152, 231, 24, 1, 768, 4800, 12240, 16584, 13083, 6219, 1785, 300, 27, 1, 1536, 10752
(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 are A003688. Diagonal sums are A116413. Product of A007318 and A116413 is A116414. Product of A007318 and A105475.
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FORMULA
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Number triangle T(n,k)=sum{j=0..n, C(k+1,j)C(n-j,k)2^(n-k-j)}
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EXAMPLE
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Triangle begins
1,
3, 1,
6, 6, 1,
12, 21, 9, 1,
24, 60, 45, 12, 1,
48, 156, 171, 78, 15, 1
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CROSSREFS
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Sequence in context: A124847 A127893 A127895 this_sequence A089511 A112692 A124929
Adjacent sequences: A116409 A116410 A116411 this_sequence A116413 A116414 A116415
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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), Feb 13 2006
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