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

References

Steven Henry Strogatz, Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering, Perseus Books Publishing, L.L.C. (1994). See p. 214.

Links

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

Baptiste Bergeot, Nils Berglund, and Israa Zogheib, The dynamic saddle-node bifurcation with noise on the slow variable, arXiv:2512.10460 [math.PR], 2025. See p. 4.

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 * A390978 A078035 A295725

Adjacent sequences: A096711 A096712 A096713 * A096715 A096716 A096717

Keyword

nonn,cons

Author

Eric W. Weisstein, Jul 04 2004

Status

approved