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A269893
Decimal expansion of the value of the maximum of the Airy function Ai.
3
5, 3, 5, 6, 5, 6, 6, 5, 6, 0, 1, 5, 6, 9, 9, 8, 6, 1, 1, 4, 4, 8, 6, 0, 2, 0, 0, 6, 9, 5, 3, 2, 2, 8, 5, 4, 8, 6, 9, 7, 3, 1, 7, 3, 7, 2, 3, 2, 9, 8, 3, 2, 5, 9, 3, 6, 4, 8, 4, 0, 4, 5, 1, 9, 5, 9, 7, 7, 6, 3, 5, 9, 2, 7, 1, 1, 3, 2, 2, 0, 3, 1, 7, 7, 8, 7, 6, 4, 6, 6, 6, 7, 6, 5, 1, 9, 2, 4, 2, 1, 2, 2, 7, 5, 7, 8, 4, 0, 0, 9, 9, 9, 0, 4, 2, 6, 6, 4, 4, 9
OFFSET
0,1
LINKS
Eric Weisstein's MathWorld, Airy Functions
EXAMPLE
0.53565665601569986114486020069532285486973173723298325936484...
MATHEMATICA
FindRoot[AiryAiPrime[x] == 0, {x, -1}, WorkingPrecision -> 104][[1, 2]] // AiryAi // RealDigits // First
PROG
(PARI) computeAtCurrentPrecision()=my(left=-2., right=-1., e=4.>>bitprecision(1.)); while(right-left>e, my(L=(2*left+right)/3, R=(left+2*right)/3); if(airy(L)[1] < airy(R)[1], left=L, right=R)); airy((left+right)/2)[1]; \\ Charles R Greathouse IV, Apr 26 2019
CROSSREFS
Cf. A269892 (location of maximum).
Sequence in context: A277621 A228046 A092516 * A336055 A131925 A128010
KEYWORD
nonn,cons
AUTHOR
STATUS
approved