Break it down function by function.
What this is saying is take the max, either the value of row A3 (3), or the value of COUNT(B$3:B3)-Home!$C$3/15+ROW($A$3) (1 - (Home!$C$3)/15) + 3). The COUNT() function will increase by a value of 1 as long as there is a numerical value in a cell.
The value that the MAX() function returns is then used in the INDEX() function, and returns the ordinal value in column B:B that matches the value from the MAX() function. This ordinal value is used as a range in the SUM function, starting from B3 and summing to the return of the INDEX() function.
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