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

0,8

Comments

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

Links

Table of n, a(n) for n=0..73.

Example

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

Crossrefs

Sequence in context: A350824 A281441 A213600 * A172545 A124321 A232195

Adjacent sequences: A178101 A178102 A178103 * A178105 A178106 A178107

Keyword

nonn,tabl

Author

Paul Barry, May 20 2010

Status

approved