m

$f(t)$

0

$\frac{-16\sqrt{2}}{{(e^t+e^{-t})}^4}$

1

$-2\sqrt{2}\cdot \frac{4-{(e^t-e^{-t})}^2}{{(e^t+e^{-t})}^4}$

2

$\frac{4\sqrt{2}{(e^t-e^{-t})}^2}{{(e^t+e^{-t})}^4}$

3

$2\sqrt{2}\cdot \frac{4+3{(e^t-e^{-t})}^2}{{(e^t+e^{-t})}^4}$

4

$8\sqrt{2}\cdot \frac{2+{(e^t-e^{-t})}^2}{{(e^t+e^{-t})}^4}$

5

$2\sqrt{2}\cdot \frac{12+5{(e^t-e^{-t})}^2}{{(e^t+e^{-t})}^4}$

6

$4\sqrt{2}\cdot \frac{8+3{(e^t-e^{-t})}^2}{{(e^t+e^{-t})}^4}$

7

$2\sqrt{2}\cdot \frac{20+7{(e^t-e^{-t})}^2}{{(e^t+e^{-t})}^4}$

8

$16\sqrt{2}\cdot \frac{3+{(e^t-e^{-t})}^2}{{(e^t+e^{-t})}^4}$

9

$2\sqrt{2}\cdot \frac{28+9{(e^t-e^{-t})}^2}{{(e^t+e^{-t})}^4}$

10

$4\sqrt{2}\cdot \frac{16+5{(e^t-e^{-t})}^2}{{(e^t+e^{-t})}^4}$

11

$2\sqrt{2}\cdot \frac{36+11{(e^t-e^{-t})}^2}{{(e^t+e^{-t})}^4}$

12

$8\sqrt{2}\cdot \frac{10+3{(e^t-e^{-t})}^2}{{(e^t+e^{-t})}^4}$