Liouville Constant
The number
is known as Liouville's constant. Liouville's constant is a Liouville number; if we define pn and qn as follows:
then we have for all positive integers n
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“But labor of the hands, even when pursued to the verge of drudgery, is perhaps never the worst form of idleness. It has a constant and imperishable moral, and to the scholar it yields a classic result.”
—Henry David Thoreau (18171862)