Strange sequences - how to construct?

Good afternoon to everybody.

I wish to construct some weird sequences.

1

1

2

2

&c.

and with  3 ones, 4 ones... &c.

Now, I know how to do a simple

1

2

3

4

using both GENERATE_SERIES and using a RECURSIVE CTE.

What I would like is to be able to construct my specified sequences using *_both_* GENERATE_SERIES *_and_* RECURSIVE CTEs.

Regards,

SQL Padawan!