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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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Table of n, a(n) for n=0..70.
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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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Sequence in context: A143844 A186759 A065623 * A147309 A147308 A110064
Adjacent sequences: A178100 A178101 A178102 * A178104 A178105 A178106
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KEYWORD
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sign,tabl
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AUTHOR
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Paul Barry, May 20 2010
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STATUS
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approved
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