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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
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.
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
KEYWORD
nonn,tabl
AUTHOR
Paul Barry, May 20 2010
STATUS
approved