%I #11 Feb 16 2025 08:33:53
%S 2,4,2,4,9,9,6,1,2,5,8,0,8,0,1,9,4,5,3,5,0,7,0,2,3,5,3,5,0,3,6,3,5,4,
%T 0,7,4,1,2,2,6,6,0,4,4,8,6,5,9,4,5,5,9,6,6,7,2,5,5,8,9,4,4,7,5,6,3,9,
%U 4,6,3,3,9,8,1,3,8,3,1,0,5,8,2,6,0,3,1,7,1,1,5,1,4,4,6,7,5,1,1,0,1,2,7,6,7,9,8,5,0,7
%N Decimal expansion of BesselI(1,1/2)/BesselI(0,1/2).
%H G. C. Greubel, <a href="/A298242/b298242.txt">Table of n, a(n) for n = 0..10000</a>
%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ContinuedFractionConstants.html">Continued Fraction Constants</a>
%H <a href="/index/Be#Bessel">Index entries for sequences related to Bessel functions or polynomials</a>
%F Equals 1/(4 + 1/(8 + 1/(12 + 1/(16 + 1/(20 + 1/(24 + ...)))))).
%e 0.2424996125808019453507023535036354074122660448659455966...
%t RealDigits[BesselI[1, 1/2]/BesselI[0, 1/2], 10, 110] [[1]]
%t RealDigits[Hypergeometric0F1[2, (1/2)^2/4]/(4 Gamma[2] Hypergeometric0F1[1, (1/2)^2/4]), 10, 110][[1]]
%o (PARI) besseli(1,1/2)/besseli(0,1/2) \\ _Michel Marcus_, Jul 03 2018
%Y Cf. A008586, A052119, A073744, A073747, A073821, A296168, A298241, A298243.
%K nonn,cons,changed
%O 0,1
%A _Ilya Gutkovskiy_, Jan 15 2018