Maple command: chebyshev(32*x^6,x);
| (2*x)^n/2 as linear combination of T_n | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| 0.5 | |||||||||
| 1 | |||||||||
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 3 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 3 | 0 | 4 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
| 0 | 10 | 0 | 5 | 0 | 1 | 0 | 0 | 0 | 0 |
| 10 | 0 | 15 | 0 | 6 | 0 | 1 | 0 | 0 | 0 |
| 0 | 35 | 0 | 21 | 0 | 7 | 0 | 1 | 0 | 0 |
| 35 | 0 | 56 | 0 | 28 | 0 | 8 | 0 | 1 |
0
|
| 0 | 126 | 0 | 84 | 0 | 36 | 0 | 9 | 0 | 1 |