A298243 Decimal expansion of BesselI(1,2/5)/BesselI(0,2/5).

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

Offset

0,2

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/(5 + 1/(10 + 1/(15 + 1/(20 + 1/(25 + 1/(30 + ...)))))).

Example

0.1961038122179955134083610646268785173725058094464270021...

Mathematica

RealDigits[BesselI[1, 2/5]/BesselI[0, 2/5], 10, 110] [[1]]
RealDigits[Hypergeometric0F1[2, (2/5)^2/4]/(5 Gamma[2] Hypergeometric0F1[1, (2/5)^2/4]), 10, 110][[1]]

Prog

(PARI) besseli(1, 2/5)/besseli(0, 2/5) \\ Michel Marcus, Jul 03 2018

Crossrefs

Cf. A008587, A052119, A073744, A073747, A073821, A296168, A298241, A298242.

Sequence in context: A199067 A291909 A011114 * A020783 A075567 A019883

Adjacent sequences: A298240 A298241 A298242 * A298244 A298245 A298246

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Jan 15 2018

Status

approved