AUTHOR
_Robert G. Wilson v (rgwv(AT)rgwv.com), _, May 18 2004
_Robert G. Wilson v (rgwv(AT)rgwv.com), _, May 18 2004
Decimal expansion of (1+(+1+ ... )^(1/e))^(1/e))^(1/e)).
1, 3, 7, 4, 5, 8, 2, 5, 8, 7, 7, 6, 4, 2, 4, 8, 1, 1, 8, 5, 1, 1, 9, 4, 2, 2, 3, 2, 8, 8, 3, 6, 6, 6, 8, 8, 4, 9, 7, 2, 6, 9, 6, 0, 2, 6, 7, 7, 5, 6, 6, 9, 4, 8, 5, 6, 3, 4, 6, 0, 0, 8, 0, 0, 5, 1, 9, 3, 9, 2, 7, 4, 1, 9, 3, 6, 6, 7, 8, 2, 4, 5, 7, 4, 4, 1, 6, 3, 4, 4, 8, 2, 7, 4, 5, 7, 0, 8, 9, 3, 3, 7, 8, 2, 9
1,2
(1+(+1+ ... )^(1/e))^(1/e))^(1/e)) = 1.3745825877642481185119422328836668849726960267756694856346008...
f[n_] := N[(n + 1)^(1/E), 128]; RealDigits[ Nest[f, 1, 200], 10, 128][[1]]
Cf. A094690.
cons,nonn
Robert G. Wilson v (rgwv(AT)rgwv.com), May 18 2004
approved