A269892 Decimal expansion of the [negated] location of the maximum of the Airy function Ai.

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

Table of n, a(n) for n=1..103.

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

Adjacent sequences: A269889 A269890 A269891 * A269893 A269894 A269895

Keyword

nonn,cons

Author

Jean-François Alcover, Mar 07 2016

Status

approved