A308741 - OEIS

%I #8 Oct 23 2023 09:35:35

%S 8,3,6,3,3,8,5,3,1,2,0,1,2,9,6,6,0,0,7,6,3,6,7,2,7,9,9,1,1,7,4,6,7,8,

%T 2,9,4,3,5,8,5,0,2,9,8,9,5,4,6,6,1,6,1,3,1,7,8,1,1,6,6,3,3,2,1,6,6,4,

%U 7,5,3,5,3,9,3,5,8,5,4,2,4,6,2,9,7,5,3,4,3,0,2,4,2,0,4,9,3,9,5,6,4,3,5,7,7,9,1,5,5

%N Decimal expansion of BesselI(1/4,1/2)/BesselI(-3/4,1/2).

%H <a href="/index/Be#Bessel">Index entries for sequences related to Bessel functions or polynomials</a>

%F Equals 1/(1 + 1/(5 + 1/(9 + 1/(13 + 1/(17 + 1/(21 + 1/(25 + 1/(29 + 1/(33 + 1/(37 + ...)))))))))).

%e 0.83633853120129660076367279911746782943585...

%t RealDigits[BesselI[1/4, 1/2]/BesselI[-3/4, 1/2], 10, 109] [[1]]

%o (PARI) besseli(1/4,1/2)/besseli(-3/4,1/2) \\ _Charles R Greathouse IV_, Oct 23 2023

%Y Cf. A016813 (continued fraction), A298242, A308739, A308740, A308742, A308743, A308744.

%K nonn,cons

%O 0,1

%A _Ilya Gutkovskiy_, Jun 21 2019