OFFSET
1,1
LINKS
Eric Weisstein's World of Mathematics, Continued Fraction Constants
FORMULA
Equals 2 + 1/(1 + 1/(1 + 1/(2 + 1/(1 + 1/(3 + 1/(1 + 1/(4 + 1/(1 + 1/(5 + 1/(1 + 1/(6 + ...))))))))))).
EXAMPLE
2.575920321368221956857496782315044490612981953260015...
MATHEMATICA
RealDigits[BesselJ[1, 2]/BesselJ[0, 2], 10, 100] [[1]]
RealDigits[Sum[(-1)^k/((k + 1) (k!)^2), {k, 0, Infinity}]/Sum[(-1)^k/(k!)^2, {k, 0, Infinity}], 10, 100][[1]]
PROG
(PARI) besselj(1, 2)/besselj(0, 2) \\ Charles R Greathouse IV, Oct 23 2023
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Ilya Gutkovskiy, Dec 06 2017
STATUS
approved