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A112475
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Riordan array (1/(1+x),x(1+x)/(1-x)).
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2
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1, -1, 1, 1, 1, 1, -1, 1, 3, 1, 1, 1, 5, 5, 1, -1, 1, 7, 13, 7, 1, 1, 1, 9, 25, 25, 9, 1, -1, 1, 11, 41, 63, 41, 11, 1, 1, 1, 13, 61, 129, 129, 61, 13, 1, -1, 1, 15, 85, 231, 321, 231, 85, 15, 1, 1, 1, 17, 113, 377, 681, 681, 377, 113, 17, 1
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OFFSET
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0,9
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COMMENTS
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Equivalent to Delannoy triangle A008288 with prepended column 1,-1,1,-1,... Row sums are A111954. Diagonal sums are A112476. Inverse is A112477.
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LINKS
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FORMULA
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Number triangle T(n,k) = Sum{j=0..n-k} C(k-1,j) C(n-j-1,n-k-j).
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EXAMPLE
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Triangle starts:
1;
-1, 1;
1, 1, 1;
-1, 1, 3, 1;
1, 1, 5, 5, 1;
-1, 1, 7, 13, 7, 1;
1, 1, 9, 25, 25, 9, 1;
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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