A096714 First (least negative) real zero of the Airy Ai function (negated).

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

Offset

1,1

Links

Table of n, a(n) for n=1..102.

Eric Weisstein's World of Mathematics, Airy Functions.

Example

-2.33810741045976703848919725244673544063854014567238...

Mathematica

RealDigits[AiryAiZero[1], 10, 100][[1]] (* Amiram Eldar, Jun 27 2021 *)

Prog

(PARI) Ain(x)=sqrt((-x)/9)*(besselj(1/3, 2/3*(-x)^(3/2)) + besselj(-1/3, 2/3*(-x)^(3/2))) \\ Airy function Ai(x) for x < 0
-solve(x=-2.5, -2.2, Ain(x)) \\ Thomas König, Jan 29 2017
(PARI) -solve(x=-2.4, -2.3, airy(x)[1]) \\ Charles R Greathouse IV, Apr 27 2019
(PARI) solve(s=1, 2, t=2/3*s^3; (besselj(1/3, t) + besselj(-1/3, t))*s)^2 \\ Charles R Greathouse IV, Aug 09 2022

Crossrefs

Cf. A096715.

Sequence in context: A113031 A127582 A157144 * A078035 A295725 A132822

Adjacent sequences: A096711 A096712 A096713 * A096715 A096716 A096717

Keyword

nonn,cons

Author

Eric W. Weisstein, Jul 04 2004

Status

approved