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A039910
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Lower triangular matrix T = Pascal lower triangular matrix divided on the left by its entry-square.
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0
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1, 0, 1, 0, -2, 1, 0, 12, -6, 1, 0, -132, 66, -12, 1, 0, 2280, -1140, 210, -20, 1, 0, -56760, 28380, -5240, 510, -30, 1, 0, 1923600, -961800, 177660, -17360, 1050, -42, 1, 0, -85149960, 42574980, -7864920, 769090, -46760, 1932, -56, 1
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OFFSET
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0,5
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COMMENTS
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Reference is a solution to a problem of I. Gessel.
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REFERENCES
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"Inverse of a Combinatorial Matrix", Dave Callan, American Mathematical Monthly, Vol. 95 (1988), pp. 770-771.
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LINKS
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FORMULA
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T=Inverse matrix of {a_ij}:{binomial(i, j)*binomial(j, j-i)}=[ A008459 ]^(-1)*[ A007318 ]
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EXAMPLE
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1;
0,1;
0,-2,1;
0,12,-6,1;
0,-132,66,-12,1;
etc.
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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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