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.

Showing 1-2 of 2 results.

A178123 Expansion of 1/(1-x-x^2/(1-2x-3x^2/(1-3x-5x^2/(1-4x-7x^2/(1-... (continued fraction).

Original entry on oeis.org

1, 1, 2, 5, 16, 61, 269, 1337, 7354, 44155, 286397, 1990427, 14725738, 115356349, 952592288, 8261093885, 74994333994, 710656444489, 7012302313061, 71892455879393, 764331907463476, 8411953721081635, 95684448908132498
Offset: 0

Views

Author

Paul Barry, May 20 2010

Keywords

Comments

First column of A178125. Hankel transform is A057863.

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.

Original entry on oeis.org

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

Views

Author

Paul Barry, May 20 2010

Keywords

Comments

Inverse is A178125.

Examples

			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
Showing 1-2 of 2 results.

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