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Let H(n)=1+(1)/(2)+(1)/(3)+ . . . . .+(1...

Let `H_(n)=1+(1)/(2)+(1)/(3)+ . . . . .+(1)/(n)`, then the sum to n terms of the series
`(1^(2))/(1^(3))+(1^(2))/(1^(3))+(2^(2))/(2^(3))+(1^(2)+2^(2)+3^(2))/(1^(3)+2^(3)+3^(3))+ . . . `, is

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