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if [{:(1,2,a),(0,1,4),(0,0,1):}]=[{:(1,1...

if `[{:(1,2,a),(0,1,4),(0,0,1):}]=[{:(1,18,2007),(0,1,36),(0,0,1):}]` then find the value of n

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The correct Answer is:
9
`[{:(1,2,a),(0,1,4),(0,0,1):}][{:(1,2,a),(0,1,4),(0,0,1):}]`
`[{:(1,4,2a+8),(0,1,8),(0,0,1):}][{:(1,2,a),(0,1,4),(0,0,1):}]=[{:(1,6,3a+24),(0,1,12),(0,0,1):}]`
`because[{:(1,2,a),(0,1,4),(0,0,1):}]=[{:(1,2n,na+8sum_(k=0)^(n-1)k),(0,1,4n),(0,0,1):}]`
Hence `n=9`
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