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If (1 + x + x^2 +.... + x^p)^6 = ao + a1...

If `(1 + x + x^2 +.... + x^p)^6 = a_o + a_1x + a_2x^2+........+a_(6p) X^(6p)`, then the value of : `1/(p(p+1)^6)[a+ 2a_2+3a_3 +... + 6p a_(6p)]` is

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