A298241 Decimal expansion of BesselI(1,2/3)/BesselI(0,2/3).

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

Offset

0,1

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

Formula

Equals 1/(3 + 1/(6 + 1/(9 + 1/(12 + 1/(15 + 1/(18 + ...)))))).

Example

0.3160892412682211840956016917105181147668629270070418207...

Mathematica

RealDigits[BesselI[1, 2/3]/BesselI[0, 2/3], 10, 110] [[1]]
RealDigits[Hypergeometric0F1[2, (2/3)^2/4] /(3 Gamma[2] Hypergeometric0F1[1, (2/3)^2/4]), 10, 110][[1]]

Prog

(PARI) besseli(1, 2/3)/besseli(0, 2/3) \\ Michel Marcus, Jul 03 2018

Crossrefs

Cf. A008585, A052119, A073744, A073747, A073821, A296168, A298242, A298243.

Sequence in context: A226771 A096614 A011002 * A113817 A197151 A364018

Adjacent sequences: A298238 A298239 A298240 * A298242 A298243 A298244

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Jan 15 2018

Status

approved