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Question: Why did I get an unterminated loop error again?

Question:Why did I get an unterminated loop error again?

RohanKarthik 25 Maple 2020
syntax programming do-loop
April 09 2020
1 
 
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"with(LinearAlgebra): T := proc(n::integer) local t0, tn, i, t, t1; if (n>0) then t0 := Matrix(1, 1, 1); tn := Matrix(1,1,0); for i from 1 to n do local z := 2^i; t := Matrix([[Add(t0, tn), x .~ t0], [t0, ZeroMatrix(z/(2))]]); t1 := Matrix([[y .~ t0, ZeroMatrix(z/(2))], [ZeroMatrix(z/(2)), ZeroMatrix(z/(2))]]); t0 := t; tn := t1; end do; else 'T'(n) end if; t0; end proc;"

Error, unterminated loop

"with(LinearAlgebra): T := proc(n::integer) local t0, tn, i, t, t1; if (n>0) then t0 := Matrix(1, 1, 1); tn := Matrix(1,1,0); for i from 1 to n do local z := 2^i; t := Matrix([[Add(t0, tn), x .~ t0], [t0, ZeroMatrix(z/2)]]); t1 := Matrix([[y .~ t0, ZeroMatrix(z/2)], [ZeroMatrix(z/2), ZeroMatrix(z/2)]]); t0 := t; tn := t1; end do; else 'T'(n) end if; t0; end proc;"

  
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T(2)

T(2)

 (1)
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``

 

Download G2.mw

Hello everyone. I was trying to code the recurrence relation given in the image below (without taking the mth power):

 

But, as I run the program, I am getting an "unterminated loop" error. Can someone please point out the mistake(s)?
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