A284868 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

Offset: 0

Author

Jean-François Alcover, Apr 04 2017

Keywords

• nonn
• cons

Examples

			-0.2588194037928067984051835601892039634790911383549345822100018138561...
		

Links

• Simon Plouffe, Airy Functions Constant C2
• Eric Weisstein's MathWorld, Airy Functions
• Wikipedia, Airy Function

Crossrefs

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

Programs

Mathematica

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

PARI

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

Formula

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