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A106268
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Number triangle T(n,k)=binomial(k-n,n-k)(-1)^(n-k)= if(k<=n, (0^(n-k)+binomial(2(n-k),n-k))/2,0); Riordan array (1/(2-C(x)),x) where C(x) is g.f. for Catalan numbers A000108.
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2
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1, 1, 1, 3, 1, 1, 10, 3, 1, 1, 35, 10, 3, 1, 1, 126, 35, 10, 3, 1, 1, 462, 126, 35, 10, 3, 1, 1, 1716, 462, 126, 35, 10, 3, 1, 1, 6435, 1716, 462, 126, 35, 10, 3, 1, 1, 24310, 6435, 1716, 462, 126, 35, 10, 3, 1, 1, 92378, 24310, 6435, 1716, 462, 126, 35, 10, 3, 1, 1, 352716
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Triangle includes A088218.
Rows sums are A024718. Diagonal sums are A106269. Inverse is A106270.
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EXAMPLE
| Triangle begins
1;
1,1;
3,1,1;
10,3,1,1;
35,10,3,1,1;
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CROSSREFS
| Sequence in context: A176482 A045912 A158695 * A060543 A185996 A176157
Adjacent sequences: A106265 A106266 A106267 * A106269 A106270 A106271
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Apr 28 2005
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