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

%I #7 Apr 26 2019 23:45:27

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

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

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

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

%H Simon Plouffe, <a href="http://plouffe.fr/simon/constants/airyc1.txt">Airy Functions Constant C1</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^(2/3)*Gamma(2/3)).

%e 0.35502805388781723926006318600418317639797917419917724058332651030081...

%t RealDigits[AiryAi[0], 10, 105][[1]]

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

%Y Cf. A096714, A096715, A269892, A269893, A073006 (Gamma(2/3)), A284868 (Ai'(0)).

%K nonn,cons

%O 0,1

%A _Jean-François Alcover_, Apr 04 2017