A178125 Inverse of 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, 2, 3, 1, 5, 11, 6, 1, 16, 45, 34, 10, 1, 61, 208, 197, 81, 15, 1, 269, 1068, 1204, 626, 165, 21, 1, 1337, 6017, 7810, 4863, 1640, 302, 28, 1, 7354, 36801, 53762, 38742, 15781, 3760, 511, 36, 1, 44155, 242242, 391797, 319197, 151487, 43962, 7805, 814

Offset: 0

Author

Paul Barry, May 20 2010

Keywords

• nonn
• tabl

Comments

Inverse is A178124. First column is A178123.

Examples

			Triangle begins
1,
1, 1,
2, 3, 1,
5, 11, 6, 1,
16, 45, 34, 10, 1,
61, 208, 197, 81, 15, 1,
269, 1068, 1204, 626, 165, 21, 1,
1337, 6017, 7810, 4863, 1640, 302, 28, 1,
7354, 36801, 53762, 38742, 15781, 3760, 511, 36, 1
Production matrix 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