A284867 Decimal expansion of Ai(0), where Ai is the Airy function of the first kind.

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, 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, 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

Offset: 0

Author

Jean-François Alcover, Apr 04 2017

Keywords

• nonn
• cons

Examples

			0.35502805388781723926006318600418317639797917419917724058332651030081...
		

References

• Jerome Spanier and Keith B. Oldham, "Atlas of Functions", Hemisphere Publishing Corp., 1987, chapter 56, page 559.

Links

• Simon Plouffe, Airy Functions Constant C1.
• Eric Weisstein's MathWorld, Airy Functions.
• Wikipedia, Airy Function.

Crossrefs

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

Programs

Mathematica

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

PARI

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

Formula

Ai(0) = 1/(3^(2/3)*Gamma(2/3)).