Let 1^{P}+2^{P}+3^{P}+. . . . . . . . .+n^{P}=a_{0} n^{P+1}+a_{1} n^{P}+a_{2} n^{P-1} . . . . . . . . .+a_{P} n+a_{P+1}, where n, P ∈ N . If a_{0}=\;{1}/{8}, then {P}=________

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