A178124 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, 1, -3, 1, 0, 7, -6, 1, -5, -13, 26, -10, 1, 25, 11, -101, 69, -15, 1, -105, 76, 383, -425, 150, -21, 1, 460, -758, -1494, 2599, -1310, 286, -28, 1, -2315, 5536, 6215, -16761, 11129, -3325, 497, -36, 1, 13935, -40769, -27989, 118079, -97272, 36764

Offset

0,5

Comments

Inverse is A178125.

Links

Table of n, a(n) for n=0..50.

Example

Triangle begins
1,
-1, 1,
1, -3, 1,
0, 7, -6, 1,
-5, -13, 26, -10, 1,
25, 11, -101, 69, -15, 1,
-105, 76, 383, -425, 150, -21, 1,
460, -758, -1494, 2599, -1310, 286, -28, 1,
-2315, 5536, 6215, -16761, 11129, -3325, 497, -36, 1
Production matrix of inverse 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

Crossrefs

Sequence in context: A361475 A111246 A206306 * A354010 A143395 A090536

Adjacent sequences: A178121 A178122 A178123 * A178125 A178126 A178127

Keyword

sign,tabl

Author

Paul Barry, May 20 2010

Status

approved