Puzzle 874.Consecutive integers with increasing or non decreasing quantity of divisors

I had an idea for a couple of new sequences. I believe they haven't been done before. I can provide more terms if necessary

Consecutive numbers which have an increasing (>) or non-decreasing (>=) number of divisors.

For example: 3 has 2 divisors. 4 has 3 5 has 2. So, 3-4 is a sequence of length 2.

(n, t) n is the first number, t is the length of the sequence

Increasing:

1) 2

2) 3, 4

3) 73-75

4) 61-64

5) 35221-35225

6) 11371-11376

Non-decreasing:
1) 4

2) 5, 6

3) 2, 3, 4

4) 13-16

5) 1613-1617

6) 241-246
These are now drafts in OEIS: A284596- Increasing; A284597 - Non-decreasing

...Shoot, similar sequences have already been created. I guess it's worth still trying to extend them

A075028 - increasing
A075046 - non-decreasing

Q1.Would you like to extend these sequences.