(Redirected from 1/(sqrt(e)-1))
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The
square root of
has the
Maclaurin series expansion
-
where
is the
double factorial.
is
transcendental since
is transcendental.
Value
The decimal expansion of
is (
A019774)
-
with continued fraction
-
giving the sequence (
A058281 for
;
A058281 for
1/(sqrt(e)-1)) with pattern
a (3k + 1) = 4k + 1, a(n) = 1 |
otherwise
- {1, 1, 1, 1, 5, 1, 1, 9, 1, 1, 13, 1, 1, 17, 1, 1, 21, 1, 1, 25, 1, 1, 29, 1, 1, 33, 1, 1, 37, 1, 1, 41, 1, 1, 45, 1, 1, 49, 1, 1, 53, 1, 1, 57, 1, 1, 61, 1, 1, 65, 1, 1, 69, 1, 1, 73, 1, 1, 77, ...}
1/(sqrt(e)-1)
The decimal expansion of 1/(sqrt(e)-1) is (A113011)
-
with generalized continued fraction
-
See also