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(PARI) -derivnum(x=0, airy(x)[1]) \\ Charles R Greathouse IV, Apr 26 2019

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allocated for Jean-François Alcover

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

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, 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, 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

0,1

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

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

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

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

-0.2588194037928067984051835601892039634790911383549345822100018138561...

RealDigits[AiryAi'[0], 10, 105][[1]]

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

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nonn,cons

Jean-François Alcover, Apr 04 2017

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allocated for Jean-François Alcover

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