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A178103
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Coefficient array of orthogonal polynomials P(n,x)=x*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1,P(1,x)=x.
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1
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1, 0, 1, -1, 0, 1, 0, -4, 0, 1, 5, 0, -9, 0, 1, 0, 33, 0, -16, 0, 1, -45, 0, 114, 0, -25, 0, 1, 0, -408, 0, 290, 0, -36, 0, 1, 585, 0, -1890, 0, 615, 0, -49, 0, 1, 0, 6705, 0, -6240, 0, 1155, 0, -64, 0, 1, -9945, 0, 38835, 0, -16695, 0, 1988, 0, -81, 0, 1, 0, -137340, 0, 157395, 0
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OFFSET
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0,8
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COMMENTS
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First row is aerated signed version of quartic factorial numbers A007696. Inverse is A178104.
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LINKS
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EXAMPLE
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Triangle begins
1,
0, 1,
-1, 0, 1,
0, -4, 0, 1,
5, 0, -9, 0, 1,
0, 33, 0, -16, 0, 1,
-45, 0, 114, 0, -25, 0, 1,
0, -408, 0, 290, 0, -36, 0, 1,
585, 0, -1890, 0, 615, 0, -49, 0, 1
Production matrix of inverse is
0, 1,
1, 0, 1,
0, 3, 0, 1,
0, 0, 5, 0, 1,
0, 0, 0, 7, 0, 1,
0, 0, 0, 0, 9, 0, 1,
0, 0, 0, 0, 0, 11, 0, 1,
0, 0, 0, 0, 0, 0, 13, 0, 1,
0, 0, 0, 0, 0, 0, 0, 15, 0, 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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