I've got a backlog of puzzles that will hopefully be unleashed either later today or else next week.
This one is x-sums. The clues outside the grid indicate the sum of the first X placed numbers in the corresponding direction.
So for example a clue of 6 could have X=2, in which case the second placed number would have to be 4. Or, it could have X=3, in which case the second and third placed numbers would have be to 1 and 2 in some order.