Problem ambiguous but finally solve! I scratched head for longest time, so clarification here to help others

Do not worry, no answer writed, only clarification:


IMPORTANT 1: One step = one grid COLUMN. Example show 2 steps:
 *
**

Example show 2 steps:
 *
**
**

Example show 4 steps:
   *
   *
   *
  **
 ***
****


IMPORTANT 2: Step HEIGHT > before step height. Example show all VALID N = 7:
VALID Staircase #1 of 4
 *
 *
 *
 *
 *
**

VALID Staircase #2 of 4
 *
 *
 *
**
**

VALID Staircase #3 of 4
 *
**
**
**

VALID Staircase #4 of 4
  *
  *
 **
***


Example of INVALID N = 7:
INVALID Staircase:
*
*
*
*
*
*
*
Invalid because only 1 step

INVALID Staircase:
  *
***
***
Invalid because 2 steps same height (height 2, height 2, height 3)

INVALID Staircase:
* *
* *
***
Invalid because step height not > before step (height 3, height 1, height 3)