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Stair mathematics iii
First of all, to find the quotient m and the remainder n of n divided by 3, there are three situations:

n = 1,x - 1 = o

n=2,xx - 1 = oo

n=3,xxx - 2 = ooo+xxx

n=4,xxxx-3 = 0xx+xxxo+oooo

n=5,xxxxx-4 = xxxoo+oxxxo+ooxxx+oooo

The remainder n is 0:

1+A(m- 1,m)+A(m-2,m)+......+A(0,m)= 1+(m- 1)! +(m-2)! +0!

The remainder n is 1:

The remainder n is 2: