A298242 Decimal expansion of BesselI(1,1/2)/BesselI(0,1/2).

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, 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, 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

Offset: 0

Author

Ilya Gutkovskiy, Jan 15 2018

Keywords

• nonn
• cons

Examples

			0.2424996125808019453507023535036354074122660448659455966...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 0..10000
• Eric Weisstein's World of Mathematics, Continued Fraction Constants
• Index entries for sequences related to Bessel functions or polynomials

Crossrefs

Cf. A008586, A052119, A073744, A073747, A073821, A296168, A298241, A298243.

Programs

Mathematica

RealDigits[BesselI[1, 1/2]/BesselI[0, 1/2], 10, 110] [[1]]
RealDigits[Hypergeometric0F1[2, (1/2)^2/4]/(4 Gamma[2] Hypergeometric0F1[1, (1/2)^2/4]), 10, 110][[1]]

PARI

besseli(1,1/2)/besseli(0,1/2) \\ Michel Marcus, Jul 03 2018

Formula

Equals 1/(4 + 1/(8 + 1/(12 + 1/(16 + 1/(20 + 1/(24 + ...)))))).