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Decimal expansion of the derivative Ai'(0) (negated), where Ai is the Airy function of the first kind.
4

%I #6 Apr 26 2019 23:47:24

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

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

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

%N Decimal expansion of the derivative Ai'(0) (negated), where Ai is the Airy function of the first kind.

%H Simon Plouffe, <a href="http://plouffe.fr/simon/constants/airyc2.txt">Airy Functions Constant C2</a>

%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/AiryFunctions.html">Airy Functions</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Airy_function">Airy Function</a>

%F Ai'(0) = -1/(3^(1/3)*Gamma(1/3)).

%e -0.2588194037928067984051835601892039634790911383549345822100018138561...

%t RealDigits[AiryAi'[0], 10, 105][[1]]

%o (PARI) -derivnum(x=0,airy(x)[1]) \\ _Charles R Greathouse IV_, Apr 26 2019

%Y Cf. A096714, A096715, A269892, A269893, A073005 (Gamma(1/3)), A284867 (Ai(0)).

%K nonn,cons

%O 0,1

%A _Jean-François Alcover_, Apr 04 2017