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edited May 20, 2014 at 14:47

user9072

Sum of series $a^i^2$$a^{i^2}$

ca.classical-analysis-and-odes sequences-and-series power-series closed-form-expressions

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edited May 20, 2014 at 13:56

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Series where each term is square Sum of previous termseries $a^i^2$

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asked May 20, 2014 at 12:32

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Series where each term is square of previous term

Is there any closed form known for the expression $\sum_{i=1}^\infty a^{i^2}$ where $|a|<1$? Thanks!

power-series