My current function is:
=SUM(COMBIN(5,SEQUENCE($A$1,,$A$1,1)) * COMBIN(4,SEQUENCE($A$1,,$A$1,1)))
where $A$1 = any potential integer. So for example, if it were 3 it would return 120 i.e.
COMBIN(5...) 
COMBIN(4...) 
SUM 
10 
4 
40 
10 
6 
60 
5 
4 
20 


120 
I need to change the formula so the final number is based on a nested sequence of the input number from $A$1 so using the same example where $A$1 = 3 the result is 220 in effect summing the results of the formula with a decrementing $A$1 by 1 until it reaches 1 i.e.
COMBIN(5...) 
COMBIN(4...) 
SUM 
10 
4 
40 
10 
6 
60 
5 
4 
20 
10 
6 
60 
5 
4 
20 
5 
4 
20 


220 
or effectively =SUM(COMBIN(5,SEQUENCE($A$1,,$A$1,1)) * COMBIN(4,SEQUENCE($A$1,,$A$1,1)), COMBIN(5,SEQUENCE($A$11,,$A$11,1)) * COMBIN(4,SEQUENCE($A$11,,$A$11,1)), COMBIN(5,SEQUENCE($A$12,,$A$12,1)) * COMBIN(4,SEQUENCE($A$12,,$A$12,1)))
but because I don't know what $A$1 is, I can't write it out this way as i won't know when $A$1x will reach 1 and therefore stop summing.