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Search: id:A124341
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| A124341 |
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Riordan array (1/(1+x), x(1+2x)/(1+x)^2). |
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+0
2
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| 1, -1, 1, 1, -1, 1, -1, 0, -1, 1, 1, 2, -1, -1, 1, -1, -5, 5, -2, -1, 1, 1, 9, -10, 8, -3, -1, 1, -1, -14, 14, -14, 11, -4, -1, 1, 1, 20, -14, 14, -17, 14, -5, -1, 1, -1, -27, 6, 0, 9
(list; table; graph; listen)
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OFFSET
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0,12
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COMMENT
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Row sums are (-1)^n*F(n-1), the inverse binomial transform of F(n+1). Diagonal sums are A124342.
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FORMULA
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Number triangle T(n,k)=sum{j=0..n, (-1)^(n-j)*C(n,j)*C(k,j-k)}; T(n,k)=sum{j=0..n, (-1)^(j-k)*C(k,n-j)*C(n,j-k)}.
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EXAMPLE
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Triangle begins
1,
-1, 1,
1, -1, 1,
-1, 0, -1, 1,
1, 2, -1, -1, 1,
-1, -5, 5, -2, -1, 1,
1, 9, -10, 8, -3, -1, 1
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CROSSREFS
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Adjacent sequences: A124338 A124339 A124340 this_sequence A124342 A124343 A124344
Sequence in context: A046876 A026584 A119326 this_sequence A134744 A016541 A098876
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KEYWORD
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easy,sign,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Oct 26 2006
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