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A155839
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A ratio of two Catalan arrays.
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1
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1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 3, 0, 1, 0, 4, 7, 6, 0, 1, 0, 8, 18, 16, 10, 0, 1, 0, 16, 45, 51, 30, 15, 0, 1, 0, 32, 110, 152, 115, 50, 21, 0, 1, 0, 64, 264, 436, 396, 225, 77, 28, 0, 1, 0, 128, 624, 1212, 1300, 876, 399, 112, 36, 0, 1
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OFFSET
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0,12
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COMMENTS
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Triangle A033184^{-1}*A124644, Row sums are A120010.
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LINKS
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Table of n, a(n) for n=0..65.
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FORMULA
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T(n,k)=sum{j=0..n, (-1)^(n-j)*C(j+1,n-j)*C(j,k)*if(k<=j, A000108(j-k),0)}.
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EXAMPLE
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Triangle begins
1,
0, 1,
0, 0, 1,
0, 1, 0, 1,
0, 2, 3, 0, 1,
0, 4, 7, 6, 0, 1,
0, 8, 18, 16, 10, 0, 1,
0, 16, 45, 51, 30, 15, 0, 1,
0, 32, 110, 152, 115, 50, 21, 0, 1
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CROSSREFS
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Sequence in context: A259748 A298159 A123735 * A229615 A135814 A038570
Adjacent sequences: A155836 A155837 A155838 * A155840 A155841 A155842
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry, Jan 28 2009
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STATUS
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approved
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