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A096714
First (least negative) real zero of the Airy Ai function (negated).
4
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
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
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Jul 04 2004
STATUS
approved