A386934 Decimal expansion of BesselI(1, 2*sqrt(2))/(sqrt(2)*BesselI(2, 2*sqrt(2))).

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

Offset: 1

Author

Kelvin Voskuijl, Aug 09 2025

Keywords

• cons
• nonn
• changed

Examples

			1.2892652359849177261502470461093801583744352570790...
		

Links

• Kelvin Voskuijl, Table of n, a(n) for n = 1..20000

Crossrefs

Cf. A145051 (continued fraction), A363679, A386710.

Programs

Mathematica

RealDigits[BesselI[1, 2 Sqrt[2]]/(Sqrt[2] BesselI[2, 2 Sqrt[2]]), 10, 100][[1]]

PARI

besseli(1, 2*sqrt(2))/(sqrt(2)*besseli(2, 2*sqrt(2)))

Formula

Equals ( Sum_{k >= 0} 2^n/((1 + n)n!^2) )/( Sum_{k >= 1} 2^k/((k-1)!*(k+1)!) ).

Equals A363679/A386710.