Weird golf pairings needed

[Cory]

We have a golf outing comprising of six rounds but 3 of them will have 8 players and 3 will have only 7 players. I fully understand that pairings will not be equal in each player playing with each other player but is their a formula to maximize each player’s pairing with as many different players as possible?  Thanks for any efforts possible. 

[Ian Wakeling]

Thanks for your question.  What is your preferred format of play for each round?  When there are 8 players is it 4 singles?  When there are 7 players, is it 2 singles and a threesome?

[Cory]

For the first three days we will have two foursomes each day and the last three days we will have one foursome and one threesome each day. 

[Ian Wakeling]

I don't think any nice solutions to this can exist.  However I offer the following possibility:

(6 4 2 5) (1 3 7 8)
(3 5 4 1) (2 6 7 8)
(3 6 1 2) (4 5 7 8)
(1 2 5 7) (4 3 6)
(5 6 7 3) (4 1 2)
(7 3 2 4) (5 1 6)

where player 8 is the one who drops out after 3 days.  Perhaps there might be better possibilities, but in order to have everyone play each other at least once, and no more than three times, then I end up with 7 and 8 playing together in all of the 1st 3 rounds.