A316352 Decimal expansion of (BesselI(0,1/2)-BesselI(1,1/2))/(BesselI(0,1/2)-3*BesselI(1,1/2)).

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

Offset

1,1

Comments

The continued fraction of this number is the same as that of exp(1), except that a(3n) of the continued fraction of this number is the sequence of odd numbers, 2n+1, rather than the sequence of even numbers, 2n.

Links

Table of n, a(n) for n=1..70.

Example

2.77980607915035691390296218455... = 2 + 1/(1 + 1/(3 + 1/(1 + 1/(1 + 1/(5 + ...)))))

Mathematica

RealDigits[(BesselI[0, 1/2] - BesselI[1, 1/2])/(BesselI[0, 1/2] - 3 BesselI[1, 1/2]), 10, 70][[1]]

Prog

(PARI) (besseli(0, 1/2)-besseli(1, 1/2))/(besseli(0, 1/2)-3*besseli(1, 1/2)) \\ Felix Fröhlich, Jul 07 2018

Crossrefs

Cf. A001113, A003417, A058281, A101443, A298242.

Sequence in context: A257960 A238734 A332633 * A114532 A003061 A087385

Adjacent sequences: A316349 A316350 A316351 * A316353 A316354 A316355

Keyword

nonn,cons

Author

Terry D. Grant, Jun 29 2018

Status

approved