Question: simplify seems to have a bug here?

I'm just unable to see how this could be correct, if someone can take a look it would be much appreciated.

 


 

sum((piecewise(6 = k, 1, 6 <> k, 0)-3*frac((1/3)*N)*piecewise(6 = k+1, 1, 6 <> k+1, 0))*floor((1/3)*N*3^(k-floor(ln((1/3)*N)/ln(3))-1)), k = 1 .. floor(ln((1/3)*N)/ln(3))+1)

sum((piecewise(6 = k, 1, 6 <> k, 0)-3*frac((1/3)*N)*piecewise(6 = k+1, 1, 6 <> k+1, 0))*floor((1/3)*N*3^(k-floor(ln((1/3)*N)/ln(3))-1)), k = 1 .. floor(ln((1/3)*N)/ln(3))+1)

(1)

simplify(sum((piecewise(6 = k, 1, 6 <> k, 0)-3*frac((1/3)*N)*piecewise(6 = k+1, 1, 6 <> k+1, 0))*floor((1/3)*N*3^(k-floor(ln((1/3)*N)/ln(3))-1)), k = 1 .. floor(ln((1/3)*N)/ln(3))+1))

piecewise(k = 5, -3*(floor((-ln(3)+ln(N))/ln(3))+1)*floor(27*3^(-floor((-ln(3)+ln(N))/ln(3)))*N)*frac((1/3)*N), k = 6, (floor((-ln(3)+ln(N))/ln(3))+1)*floor(81*3^(-floor((-ln(3)+ln(N))/ln(3)))*N), 0)

(2)

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