A185997 Inverse of coefficient array of orthogonal polynomials P(n,x)=(x-2n+2)*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, 7, 1, 16, 48, 44, 13, 1, 64, 244, 289, 129, 21, 1, 308, 1419, 2045, 1210, 306, 31, 1, 1727, 9281, 15649, 11447, 3937, 627, 43, 1, 11008, 67236, 129112, 111890, 48586, 10680, 1156, 57, 1, 78244, 532816, 1143134, 1140554, 596698, 168102, 25293, 1969, 73, 1, 611060, 4573278, 10808122, 12163344, 7427056, 2555941, 497215, 53954, 3154, 91, 1
Offset: 0
Examples
Triangle begins: 1, 1, 1, 2, 3, 1, 5, 11, 7, 1, 16, 48, 44, 13, 1, 64, 244, 289, 129, 21, 1, 308, 1419, 2045, 1210, 306, 31, 1, 1727, 9281, 15649, 11447, 3937, 627, 43, 1, 11008, 67236, 129112, 111890, 48586, 10680, 1156, 57, 1, 78244, 532816, 1143134, 1140554, 596698, 168102, 25293, 1969, 73, 1 Production matrix begins: 1, 1, 1, 2, 1, 0, 3, 4, 1, 0, 0, 5, 6, 1, 0, 0, 0, 7, 8, 1, 0, 0, 0, 0, 9, 10, 1, 0, 0, 0, 0, 0, 11, 12, 1, 0, 0, 0, 0, 0, 0, 13, 14, 1, 0, 0, 0, 0, 0, 0, 0, 15, 16, 1
Links
- E. Deutsch, L. Ferrari and S. Rinaldi, Production Matrices, Advances in Applied Mathematics, 34 (2005) pp. 101-122.
Comments