A178104 Inverse of 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.

1, 0, 1, 1, 0, 1, 0, 4, 0, 1, 4, 0, 9, 0, 1, 0, 31, 0, 16, 0, 1, 31, 0, 111, 0, 25, 0, 1, 0, 364, 0, 286, 0, 36, 0, 1, 364, 0, 1794, 0, 610, 0, 49, 0, 1, 0, 5746, 0, 6064, 0, 1149, 0, 64, 0, 1, 5746, 0, 36066, 0, 16405, 0, 1981, 0, 81, 0, 1, 0, 113944, 0, 150901, 0, 38196, 0, 3196

Offset: 0

Author

Paul Barry, May 20 2010

Keywords

• nonn
• tabl

Comments

Inverse is A178103. First row is aerated version of A128709.

Examples

			Triangle begins
1,
0, 1,
1, 0, 1,
0, 4, 0, 1,
4, 0, 9, 0, 1,
0, 31, 0, 16, 0, 1,
31, 0, 111, 0, 25, 0, 1,
0, 364, 0, 286, 0, 36, 0, 1,
364, 0, 1794, 0, 610, 0, 49, 0, 1
Production matrix 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