OK, this is what I got so far;

Hero holds AKs. Effective stacks 100bb. ($10)

Villain's 3bet range is: 77+,A2s+,KJs+,QTs+,ATo+,KJo+,QTo+ (42 combo's of PP's, 36 of Axs, 6 of KJs+, 8 of QTs+, 33 of ATo+, 18 of KJo+, 24 of QTo+...= 167 combo's)

He calls 4bet shove w/ QQ+, AKs, AKo. (21 combo's)

Equity against villain's calling range is 42%

Size of pot before hero shove is $1.30 (0.25 BU raise, 0.05 SB, 1.00 BB 3bet)

Villain has to call $9 if I shove.

Now to start the calculation,

F = Villain folds 146 combo's. 146/167 = 0.87. F = 0.87
P = 1.30

F*P = 1.13

(1-F) = 0.13

F*P + (1-F) = 1.26

That is as far as I got, not sure if I have counted combo's correctly either.

*[E*(P + S) - (1 - E)*S]

That ^^ hurts.

I don't know how to read it, is it 2 separate sums either side of the '-'?