JMS 3.01
Hayato:
First table uses Dankuusen -> Shouryuusen -> Senpuuzan -> (Hikarasu->Issen)/Yousousen -> Dankuusen. Uses Hien first to start the combo after a buff. Yousousen's debuff is always active. Yanagi Yoke is assumed to be always fully stacked. Issen is used whenever it is available, but Hikarasu is chained before it since Shouryuusen -> Senpuuzan doesn't form a real chain with Issen and needs Hikarasu inbetween. In theory, it's about 10% stronger if all you do is spam Yousousen>Senpuuzan, but I don't think it's plausible to have two chained skills whose sum delay is lower than Yousousen's base delay... so yeah, we're here.
Second table uses Sanrenzan - Rai -> Yousousen -> Sanrenzan - Rai. In the event of Issen being available, Senpuuzan is used after into a Yousousen, though the difference isn't large. The "Final Attack" is assumed to be constant damage. The data for the 2nd and 3rd hits implies a different number, but there are no other associated skills to store this, so it may have been something they intended or forgot to change.
Shippuu Samidarejin is used whenever it is available for both cases. 防御はすなわち攻撃 was not included, but it's a 1.2~1.25x increase at max defense.
A little disappointed that Sanrenzan -> Yousousen spamming appears to be the best, but doesn't stop the other skills from not sucking. Except for Shinsokumusou. They really dropped the ball with that one.
I believe that Sanrenzan spam alone is about as strong as the chain in the first table though.
Hayato:
Spoiler
Sharp Eyes
Sanrenzan-Rai:
Spoiler
Sharp Eyes
First table uses Dankuusen -> Shouryuusen -> Senpuuzan -> (Hikarasu->Issen)/Yousousen -> Dankuusen. Uses Hien first to start the combo after a buff. Yousousen's debuff is always active. Yanagi Yoke is assumed to be always fully stacked. Issen is used whenever it is available, but Hikarasu is chained before it since Shouryuusen -> Senpuuzan doesn't form a real chain with Issen and needs Hikarasu inbetween. In theory, it's about 10% stronger if all you do is spam Yousousen>Senpuuzan, but I don't think it's plausible to have two chained skills whose sum delay is lower than Yousousen's base delay... so yeah, we're here.
Second table uses Sanrenzan - Rai -> Yousousen -> Sanrenzan - Rai. In the event of Issen being available, Senpuuzan is used after into a Yousousen, though the difference isn't large. The "Final Attack" is assumed to be constant damage. The data for the 2nd and 3rd hits implies a different number, but there are no other associated skills to store this, so it may have been something they intended or forgot to change.
Shippuu Samidarejin is used whenever it is available for both cases. 防御はすなわち攻撃 was not included, but it's a 1.2~1.25x increase at max defense.
A little disappointed that Sanrenzan -> Yousousen spamming appears to be the best, but doesn't stop the other skills from not sucking. Except for Shinsokumusou. They really dropped the ball with that one.
I believe that Sanrenzan spam alone is about as strong as the chain in the first table though.

