4 minor MathJax update

$$\begin{cases}q_1=8\\q_2=12\\q_3=12\\q_4=13\\q_5=14\\q_6=14\\q_7=13\\q_n=16,n>7\end{cases}$$$$\begin{cases}q_1=8\\q_2=12\\q_3=12\\q_4=13\\q_5=14\\q_6=14\\q_7=13\\q_n=16,&\text{for }n>7\end{cases}$$

$$\begin{cases}q_1=8\\q_2=12\\q_3=12\\q_4=13\\q_5=14\\q_6=14\\q_7=13\\q_n=16,n>7\end{cases}$$

$$\begin{cases}q_1=8\\q_2=12\\q_3=12\\q_4=13\\q_5=14\\q_6=14\\q_7=13\\q_n=16,&\text{for }n>7\end{cases}$$

3 added expected results in the table
  n |   a(n-1) | multiplier |      a(n) | flooredoutput |          expected
----+----------+------------+-----------+--------+-------------------
1 |      n/a |        n/a |         2 |      2 |                2
----+----------+------------+-----------+--------+-------------------
2 |        2 |          3 |         6 |      6 |                6
3 |        6 |          2 |        12 |     12 |               12
4 |       12 |          2 |        24 |     24 |               24
5 |       24 |      24/13 |     44.31 |      44 |        [40,..,44]
6 |    44.31 |       12/7 |     75.96 |      75 |        [72,..,78]
7 |    75.96 |       12/7 |    130.21 |     130 |      [126,..,134]
8 |   130.21 |      24/13 |    240.39 |    240 |              240
9 |   240.39 |        3/2 |    360.58 |     360 |      [306,..,364]
10 |   360.58 |        3/2 |    540.87 |     540 |      [500,..,554]
11 |   540.87 |        3/2 |    811.31 |     811 |      [582,..,870]
12 |   811.31 |        3/2 |   1216.97 |    1216 |     [840,..,1357]
13 |  1216.97 |        3/2 |   1825.45 |    1825 |    [1154,..,2069]
14 |  1825.45 |        3/2 |   2738.17 |    2738 |    [1606,..,3183]
15 |  2738.17 |        3/2 |   4107.26 |    4107 |    [2564,..,4866]
16 |  4107.26 |        3/2 |   6160.89 |    6160 |    [4320,..,7355]
17 |  6160.89 |        3/2 |   9241.34 |    9241 |   [5346,..,11072]
18 |  9241.34 |        3/2 |  13862.00 |   13862 |   [7398,..,16572]
19 | 13862.00 |        3/2 |  20793.01 |   20793 |  [10668,..,24812]
20 | 20793.01 |        3/2 |  31189.51 |   31189 |  [17400,..,36764]
21 | 31189.51 |        3/2 |  46784.26 |   46784 |  [27720,..,54584]
22 | 46784.26 |        3/2 |  70176.40 |   70176 |  [49896,..,82340]
23 | 70176.40 |        3/2 | 105264.59 |  105264 | [93150,..,124416]
----+----------+------------+-----------+--------+-------------------
24 |           (hard-coded)            | 196560 |           196560

  n |   a(n-1) | multiplier |      a(n) | floored
----+----------+------------+-----------+---------
1 |      n/a |        n/a |         2 |       2
----+----------+------------+-----------+---------
2 |        2 |          3 |         6 |       6
3 |        6 |          2 |        12 |      12
4 |       12 |          2 |        24 |      24
5 |       24 |      24/13 |     44.31 |      44
6 |    44.31 |       12/7 |     75.96 |      75
7 |    75.96 |       12/7 |    130.21 |     130
8 |   130.21 |      24/13 |    240.39 |     240
9 |   240.39 |        3/2 |    360.58 |     360
10 |   360.58 |        3/2 |    540.87 |     540
11 |   540.87 |        3/2 |    811.31 |     811
12 |   811.31 |        3/2 |   1216.97 |    1216
13 |  1216.97 |        3/2 |   1825.45 |    1825
14 |  1825.45 |        3/2 |   2738.17 |    2738
15 |  2738.17 |        3/2 |   4107.26 |    4107
16 |  4107.26 |        3/2 |   6160.89 |    6160
17 |  6160.89 |        3/2 |   9241.34 |    9241
18 |  9241.34 |        3/2 |  13862.00 |   13862
19 | 13862.00 |        3/2 |  20793.01 |   20793
20 | 20793.01 |        3/2 |  31189.51 |   31189
21 | 31189.51 |        3/2 |  46784.26 |   46784
22 | 46784.26 |        3/2 |  70176.40 |   70176
23 | 70176.40 |        3/2 | 105264.59 |  105264
----+----------+------------+-----------+---------
24 |         (hard-coded)       196560 |  196560

  n |   a(n-1) | multiplier |      a(n) | output |          expected
----+----------+------------+-----------+--------+-------------------
1 |      n/a |        n/a |         2 |      2 |                2
----+----------+------------+-----------+--------+-------------------
2 |        2 |          3 |         6 |      6 |                6
3 |        6 |          2 |        12 |     12 |               12
4 |       12 |          2 |        24 |     24 |               24
5 |       24 |      24/13 |     44.31 |     44 |        [40,..,44]
6 |    44.31 |       12/7 |     75.96 |     75 |        [72,..,78]
7 |    75.96 |       12/7 |    130.21 |    130 |      [126,..,134]
8 |   130.21 |      24/13 |    240.39 |    240 |              240
9 |   240.39 |        3/2 |    360.58 |    360 |      [306,..,364]
10 |   360.58 |        3/2 |    540.87 |    540 |      [500,..,554]
11 |   540.87 |        3/2 |    811.31 |    811 |      [582,..,870]
12 |   811.31 |        3/2 |   1216.97 |   1216 |     [840,..,1357]
13 |  1216.97 |        3/2 |   1825.45 |   1825 |    [1154,..,2069]
14 |  1825.45 |        3/2 |   2738.17 |   2738 |    [1606,..,3183]
15 |  2738.17 |        3/2 |   4107.26 |   4107 |    [2564,..,4866]
16 |  4107.26 |        3/2 |   6160.89 |   6160 |    [4320,..,7355]
17 |  6160.89 |        3/2 |   9241.34 |   9241 |   [5346,..,11072]
18 |  9241.34 |        3/2 |  13862.00 |  13862 |   [7398,..,16572]
19 | 13862.00 |        3/2 |  20793.01 |  20793 |  [10668,..,24812]
20 | 20793.01 |        3/2 |  31189.51 |  31189 |  [17400,..,36764]
21 | 31189.51 |        3/2 |  46784.26 |  46784 |  [27720,..,54584]
22 | 46784.26 |        3/2 |  70176.40 |  70176 |  [49896,..,82340]
23 | 70176.40 |        3/2 | 105264.59 | 105264 | [93150,..,124416]
----+----------+------------+-----------+--------+-------------------
24 |           (hard-coded)            | 196560 |           196560

f=(n,k=2)=>=>n<24?--n?f(n,n<23?k*24/(17+~'48443223'[n]17+~'_8443223'[n]):3.7346):k|0~~k:196560


### How?

The last term $$\a_{24}=196560\$$ is hard-coded.

All other terms are computed recursively, using:

$$\begin{cases}a_1=2\\a_{n+1}=a_n\times\dfrac{24}{q_n}\end{cases}$$

where $$\q_n\$$ is defined as:

$$\begin{cases}q_1=8\\q_2=12\\q_3=12\\q_4=13\\q_5=14\\q_6=14\\q_7=13\\q_n=16,n>7\end{cases}$$

$$3,2,2,\frac{24}{13},\frac{12}{7},\frac{12}{7},\frac{24}{13},\frac{3}{2},\frac{3}{2},\ldots,\frac{3}{2}$$

The final result is eventually floored and returned.

### Results summary

Approximated results are given with 2 decimal places.

  n |   a(n-1) | multiplier |      a(n) | floored
----+----------+------------+-----------+---------
1 |      n/a |        n/a |         2 |       2
----+----------+------------+-----------+---------
2 |        2 |          3 |         6 |       6
3 |        6 |          2 |        12 |      12
4 |       12 |          2 |        24 |      24
5 |       24 |      24/13 |     44.31 |      44
6 |    44.31 |       12/7 |     75.96 |      75
7 |    75.96 |       12/7 |    130.21 |     130
8 |   130.21 |      24/13 |    240.39 |     240
9 |   240.39 |        3/2 |    360.58 |     360
10 |   360.58 |        3/2 |    540.87 |     540
11 |   540.87 |        3/2 |    811.31 |     811
12 |   811.31 |        3/2 |   1216.97 |    1216
13 |  1216.97 |        3/2 |   1825.45 |    1825
14 |  1825.45 |        3/2 |   2738.17 |    2738
15 |  2738.17 |        3/2 |   4107.26 |    4107
16 |  4107.26 |        3/2 |   6160.89 |    6160
17 |  6160.89 |        3/2 |   9241.34 |    9241
18 |  9241.34 |        3/2 |  13862.00 |   13862
19 | 13862.00 |        3/2 |  20793.01 |   20793
20 | 20793.01 |        3/2 |  31189.51 |   31189
21 | 31189.51 |        3/2 |  46784.26 |   46784
22 | 46784.26 |        3/2 |  70176.40 |   70176
23 | 70176.40 |        3/2 | 105264.59 |  105264
----+----------+------------+-----------+---------
24 |         (hard-coded)       196560 |  196560

f=(n,k=2)=>--n?f(n,n<23?k*24/(17+~'48443223'[n]):3.7346):k|0


Try it online!

f=(n,k=2)=>n<24?--n?f(n,k*24/(17+~'_8443223'[n])):~~k:196560


Try it online!

### How?

The last term $$\a_{24}=196560\$$ is hard-coded.

All other terms are computed recursively, using:

$$\begin{cases}a_1=2\\a_{n+1}=a_n\times\dfrac{24}{q_n}\end{cases}$$

where $$\q_n\$$ is defined as:

$$\begin{cases}q_1=8\\q_2=12\\q_3=12\\q_4=13\\q_5=14\\q_6=14\\q_7=13\\q_n=16,n>7\end{cases}$$

$$3,2,2,\frac{24}{13},\frac{12}{7},\frac{12}{7},\frac{24}{13},\frac{3}{2},\frac{3}{2},\ldots,\frac{3}{2}$$

The final result is eventually floored and returned.

### Results summary

Approximated results are given with 2 decimal places.

  n |   a(n-1) | multiplier |      a(n) | floored
----+----------+------------+-----------+---------
1 |      n/a |        n/a |         2 |       2
----+----------+------------+-----------+---------
2 |        2 |          3 |         6 |       6
3 |        6 |          2 |        12 |      12
4 |       12 |          2 |        24 |      24
5 |       24 |      24/13 |     44.31 |      44
6 |    44.31 |       12/7 |     75.96 |      75
7 |    75.96 |       12/7 |    130.21 |     130
8 |   130.21 |      24/13 |    240.39 |     240
9 |   240.39 |        3/2 |    360.58 |     360
10 |   360.58 |        3/2 |    540.87 |     540
11 |   540.87 |        3/2 |    811.31 |     811
12 |   811.31 |        3/2 |   1216.97 |    1216
13 |  1216.97 |        3/2 |   1825.45 |    1825
14 |  1825.45 |        3/2 |   2738.17 |    2738
15 |  2738.17 |        3/2 |   4107.26 |    4107
16 |  4107.26 |        3/2 |   6160.89 |    6160
17 |  6160.89 |        3/2 |   9241.34 |    9241
18 |  9241.34 |        3/2 |  13862.00 |   13862
19 | 13862.00 |        3/2 |  20793.01 |   20793
20 | 20793.01 |        3/2 |  31189.51 |   31189
21 | 31189.51 |        3/2 |  46784.26 |   46784
22 | 46784.26 |        3/2 |  70176.40 |   70176
23 | 70176.40 |        3/2 | 105264.59 |  105264
----+----------+------------+-----------+---------
24 |         (hard-coded)       196560 |  196560

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