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Let l(n)=int(0)^(1)l(n)=2^(n)int(0)^(1)(...

Let `l_(n)=int_(0)^(1)l_(n)=2^(n)int_(0)^(1)(1+x^(4))^(n)dx`. If `(k+1)l_(n)=2k(1+l_(n-1))` then the value of n is `(k,ninN)` ______

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