cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A178103 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.

Original entry on oeis.org

1, 0, 1, -1, 0, 1, 0, -4, 0, 1, 5, 0, -9, 0, 1, 0, 33, 0, -16, 0, 1, -45, 0, 114, 0, -25, 0, 1, 0, -408, 0, 290, 0, -36, 0, 1, 585, 0, -1890, 0, 615, 0, -49, 0, 1, 0, 6705, 0, -6240, 0, 1155, 0, -64, 0, 1, -9945, 0, 38835, 0, -16695, 0, 1988, 0, -81, 0, 1, 0, -137340, 0, 157395, 0
Offset: 0

Views

Author

Paul Barry, May 20 2010

Keywords

Comments

First row is aerated signed version of quartic factorial numbers A007696. Inverse is A178104.

Examples

			Triangle begins
1,
0, 1,
-1, 0, 1,
0, -4, 0, 1,
5, 0, -9, 0, 1,
0, 33, 0, -16, 0, 1,
-45, 0, 114, 0, -25, 0, 1,
0, -408, 0, 290, 0, -36, 0, 1,
585, 0, -1890, 0, 615, 0, -49, 0, 1
Production matrix of inverse 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
		
Showing 1-1 of 1 results.