the coefficient of x 2012 in (1+x)(2+x ^2 )(4+x 4 )(8+x 8 )(16+x 16 )(32+x 32 ) …....(1024+x^1024)

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Saurabh Koranglekar · Answer

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the coefficient of x 2012 in (1+x)(2+x ^2 )(4+x 4 )(8+x 8 )(16+x 16 )(32+x 32 ) …....(1024+x^1024)

the coefficient of x²⁰¹² in (1+x)(2+x^{^2})(4+x⁴)(8+x⁸)(16+x¹⁶)(32+x³²) …....(1024+x^1024)

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the coefficient of x 2012 in (1+x)(2+x ^2 )(4+x 4 )(8+x 8 )(16+x 16 )(32+x 32 ) …....(1024+x^1024)

the coefficient of x2012 in (1+x)(2+x^2)(4+x4)(8+x8)(16+x16)(32+x32) …....(1024+x^1024)

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the coefficient of x²⁰¹² in (1+x)(2+x^{^2})(4+x⁴)(8+x⁸)(16+x¹⁶)(32+x³²) …....(1024+x^1024)