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A178124
Coefficient array of orthogonal polynomials P(n,x)=(x-n)*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1,P(1,x)=x-1.
1
1, -1, 1, 1, -3, 1, 0, 7, -6, 1, -5, -13, 26, -10, 1, 25, 11, -101, 69, -15, 1, -105, 76, 383, -425, 150, -21, 1, 460, -758, -1494, 2599, -1310, 286, -28, 1, -2315, 5536, 6215, -16761, 11129, -3325, 497, -36, 1, 13935, -40769, -27989, 118079, -97272, 36764
OFFSET
0,5
COMMENTS
Inverse is A178125.
EXAMPLE
Triangle begins
1,
-1, 1,
1, -3, 1,
0, 7, -6, 1,
-5, -13, 26, -10, 1,
25, 11, -101, 69, -15, 1,
-105, 76, 383, -425, 150, -21, 1,
460, -758, -1494, 2599, -1310, 286, -28, 1,
-2315, 5536, 6215, -16761, 11129, -3325, 497, -36, 1
Production matrix of inverse is
1, 1,
1, 2, 1,
0, 3, 3, 1,
0, 0, 5, 4, 1,
0, 0, 0, 7, 5, 1,
0, 0, 0, 0, 9, 6, 1,
0, 0, 0, 0, 0, 11, 7, 1,
0, 0, 0, 0, 0, 0, 13, 8, 1,
0, 0, 0, 0, 0, 0, 0, 15, 9, 1
CROSSREFS
Sequence in context: A361475 A111246 A206306 * A354010 A143395 A090536
KEYWORD
sign,tabl
AUTHOR
Paul Barry, May 20 2010
STATUS
approved