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, -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

Author

Paul Barry, May 20 2010

Keywords

• sign
• tabl

Comments

Inverse is A178125.

Examples

			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