What hardware should I use to connect a 4x6 to the top of a 4x4?
I already have a bracket for the A-frame end, the aptly-named swing set bracket. What I need is a bracket for the circled connection. Yes, it's for a swing set.
Like this:
I would place 18" 2x4s on each side of that connection point and use 5 through bolts, washers and nuts to secure it. Put 2 bolts above the lap and three bolts below, all staggered. Angle cut the bottom of each 2x4 for appearance.
I would build this out with the A frame on both ends of the horizontal beam. That will provide much better support for the types of forces that swings exert on to the beam. You can do this easily and effectively uncouple the swing set from what appears to be a corner of a raised deck.
Future flexibility is a strong factor here. Families needing back yard swings change with the passage of years and moving, selling or removing the free-standing swing structure will be much easier.
I would use Simpson Strong-Tie Outdoor Accents ZMAX, Black Heavy Joist Hanger for 4x6.
The first comment shows a pic of the unit attached to an upright member as you have. With the comment that it works great for the grand childrens' swing.