OFFSET
1,1
COMMENTS
The continued fraction of this number is the same as that of exp(1), except that a(3n) of the continued fraction of this number is the sequence of odd numbers, 2n+1, rather than the sequence of even numbers, 2n.
EXAMPLE
2.77980607915035691390296218455... = 2 + 1/(1 + 1/(3 + 1/(1 + 1/(1 + 1/(5 + ...)))))
MATHEMATICA
RealDigits[(BesselI[0, 1/2] - BesselI[1, 1/2])/(BesselI[0, 1/2] - 3 BesselI[1, 1/2]), 10, 70][[1]]
PROG
(PARI) (besseli(0, 1/2)-besseli(1, 1/2))/(besseli(0, 1/2)-3*besseli(1, 1/2)) \\ Felix Fröhlich, Jul 07 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Terry D. Grant, Jun 29 2018
STATUS
approved