Wecoc's 1 to 9 increasing idea seemed a concept for GT puzzle creation so here are a couple:
1 inc 9 W 1
Given these are greater than puzzles some GE constraints are included.
Both puzzles are Windoku.
Where we have 1 to 9 increasing left to right or top to bottom the numbers between them must also increase (including the 1 and 9 trivially).
For clarity this does not apply if 9 is above 1.
1 5 9 W 2
Where the givens 1, 5, 9 are increasing (15 or 19 or 59) then they must form an increasing sequence e.g.: 15, 135, 1245, 12345.
In this puzzle: this rule does not apply with solution values; only with givens.