A133920 Decimal expansion of the first real inflection point of the jinc function.

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

Offset: 1

Author

Eric W. Weisstein, Sep 28 2007

Keywords

• nonn
• cons

Examples

			2.2999103302284109149...
		

Links

• Eric Weisstein's World of Mathematics, Jinc Function

Programs

Mathematica

x0 = x /. FindRoot[3x*BesselJ[0, x] + (x^2 - 6)*BesselJ[1, x] == 0, {x, 2}, WorkingPrecision -> 105]; RealDigits[x0][[1]] (* Jean-François Alcover, Oct 26 2012, after Eric W. Weisstein *)

PARI

solve(x=2,3,3*x*besselj(0,x)+(x^2-6)*besselj(1,x)) \\ Charles R Greathouse IV, Feb 19 2014