A178121 Inverse of coefficient array of orthogonal polynomials P(n,x)=(x-2n)*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1,P(1,x)=x-2.

1, 2, 1, 5, 6, 1, 16, 32, 12, 1, 64, 180, 109, 20, 1, 308, 1111, 934, 276, 30, 1, 1727, 7554, 8095, 3352, 585, 42, 1, 11008, 56228, 72884, 39006, 9580, 1100, 56, 1, 78244, 454572, 688562, 451992, 144706, 23396, 1897, 72, 1, 611060, 3962218, 6845904, 5317440

Offset

0,2

Comments

Inverse is A178120. First column is A178119.

Links

Table of n, a(n) for n=0..48.

Example

Triangle begins
1,
2, 1,
5, 6, 1,
16, 32, 12, 1,
64, 180, 109, 20, 1,
308, 1111, 934, 276, 30, 1,
1727, 7554, 8095, 3352, 585, 42, 1,
11008, 56228, 72884, 39006, 9580, 1100, 56, 1,
78244, 454572, 688562, 451992, 144706, 23396, 1897, 72, 1
Production matrix is
2, 1,
1, 4, 1,
0, 3, 6, 1,
0, 0, 5, 8, 1,
0, 0, 0, 7, 10, 1,
0, 0, 0, 0, 9, 12, 1,
0, 0, 0, 0, 0, 11, 14, 1,
0, 0, 0, 0, 0, 0, 13, 16, 1,
0, 0, 0, 0, 0, 0, 0, 15, 18, 1

Crossrefs

Sequence in context: A378588 A328297 A124575 * A302595 A113345 A078123

Adjacent sequences: A178118 A178119 A178120 * A178122 A178123 A178124

Keyword

nonn,tabl

Author

Paul Barry, May 20 2010

Status

approved