Does $\sqrt {-1\sqrt {-2 \sqrt {-3 \sqrt {-4 \ldots}}}}$ converge? Is there a closed form for it?
2026-04-04 10:14:08.1775297648
Closed form for $\sqrt {-1\sqrt {-2 \sqrt {-3 \sqrt {-4 \ldots}}}}$
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Somos' quadratic recurrence constant does converge and there is no closed form. The sequence you give does not converge as the differences between successive terms are always greater than 1/2 .