A178125 Inverse of 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, 2, 3, 1, 5, 11, 6, 1, 16, 45, 34, 10, 1, 61, 208, 197, 81, 15, 1, 269, 1068, 1204, 626, 165, 21, 1, 1337, 6017, 7810, 4863, 1640, 302, 28, 1, 7354, 36801, 53762, 38742, 15781, 3760, 511, 36, 1, 44155, 242242, 391797, 319197, 151487, 43962, 7805, 814

Offset

0,4

Comments

Inverse is A178124. First column is A178123.

Links

Table of n, a(n) for n=0..52.

Example

Triangle begins
1,
1, 1,
2, 3, 1,
5, 11, 6, 1,
16, 45, 34, 10, 1,
61, 208, 197, 81, 15, 1,
269, 1068, 1204, 626, 165, 21, 1,
1337, 6017, 7810, 4863, 1640, 302, 28, 1,
7354, 36801, 53762, 38742, 15781, 3760, 511, 36, 1
Production matrix 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: A299105 A307899 A144634 * A147315 A085853 A185997

Adjacent sequences: A178122 A178123 A178124 * A178126 A178127 A178128

Keyword

nonn,tabl

Author

Paul Barry, May 20 2010

Status

approved