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A269892
Decimal expansion of the [negated] location of the maximum of the Airy function Ai.
3
1, 0, 1, 8, 7, 9, 2, 9, 7, 1, 6, 4, 7, 4, 7, 1, 0, 8, 9, 0, 1, 7, 3, 2, 4, 7, 8, 3, 3, 9, 9, 7, 4, 3, 8, 2, 4, 2, 1, 8, 2, 0, 5, 4, 4, 1, 2, 5, 4, 4, 3, 4, 5, 6, 3, 8, 7, 0, 8, 6, 1, 4, 1, 3, 9, 8, 2, 8, 0, 1, 6, 4, 6, 7, 2, 3, 6, 2, 0, 4, 0, 3, 4, 1, 4, 7, 1, 5, 5, 0, 9, 7, 1, 4, 0, 1, 2, 2, 3, 0, 7, 8, 1
OFFSET
1,4
REFERENCES
L. D. Landau & E. M. Lifshitz, The Classical Theory of Fields, Pergamon Press 1971, page 150.
LINKS
Eric Weisstein's MathWorld, Airy Functions
EXAMPLE
-1.01879297164747108901732478339974382421820544125443456387...
MATHEMATICA
FindRoot[AiryAiPrime[x] == 0, {x, -1}, WorkingPrecision -> 103][[1, 2]] // 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)); -(left+right)/2; \\ Charles R Greathouse IV, Apr 26 2019
CROSSREFS
Cf. A269893 (value of maximum).
Sequence in context: A276762 A363874 A256609 * A332437 A242968 A021536
KEYWORD
nonn,cons
AUTHOR
STATUS
approved