New sequence derived from the totient function

[David W. Wilson]

How to get this sequence:

Plot A002202 against A006511

1 2
2 6
4 12
6 18
8 30
10 22
12 42
16 60
18 54
20 66
...

Select increasing values in second column

1 2
2 6
4 12
6 18
8 30
12 42
16 60
20 66
...

Replace first column with its first difference

1 2
2 6
2 12
2 18
4 30
4 42
4 60
...

Increment second column

1 3
2 7
2 13
2 19
4 31
4 43
4 61
...

Replace each row "a b" with a row of a b's

3
7 7
13 13
19 19
31 31 31 31
43 43 43 43
61 61 61 61
...

Prepend this with a 1, and you have your sequence.