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A247445 Decimal expansion of the negative derivative of Dawson integral at its inflection points. 3
2, 8, 4, 7, 4, 9, 4, 3, 9, 6, 5, 6, 8, 4, 6, 4, 8, 2, 5, 2, 2, 0, 3, 1, 5, 7, 4, 4, 6, 7, 7, 3, 4, 1, 7, 4, 5, 4, 6, 6, 2, 5, 5, 2, 7, 7, 0, 6, 2, 8, 4, 7, 4, 1, 6, 8, 7, 6, 0, 7, 5, 9, 5, 1, 7, 0, 2, 6, 8, 3, 1, 7, 3, 2, 0, 4, 7, 8, 4, 5, 8, 6, 3, 7, 3, 7, 5, 4, 5, 8, 1, 7, 9, 4, 6, 3, 4, 2, 4, 1, 2, 4, 9, 7, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Stanislav Sykora, Table of n, a(n) for n = 0..2000

Eric Weisstein's World of Mathematics, Dawson's Integral

Wikipedia, Dawson function

FORMULA

Equals 1/(2*xinfl^2-1) = A245262/xinfl, where xinfl=A133843.

EXAMPLE

0.284749439656846482522031574467734174546625527706284741687607595170...

PROG

(PARI) Erfi(z) = -I*(1.0-erfc(I*z));

Dawson(z) = 0.5*sqrt(Pi)*exp(-z*z)*Erfi(z); \\ same as F(x)=D_+(x)

DDawson(z) = 1.0 - 2*z*Dawson(z); \\ 1st derivative of the above

D2Dawson(z) = -2.0*(z + (1.0-2.0*z*z)*Dawson(z)); \\ 2nd derivative

xinfl = solve(z=1.0, 2.0, real(D2Dawson(z)));

x = -DDawson(xinfl);

CROSSREFS

Cf. A133841, A133842, A133843, A243433, A245262.

Sequence in context: A101314 A054530 A253883 * A151928 A271836 A021355

Adjacent sequences:  A247442 A247443 A247444 * A247446 A247447 A247448

KEYWORD

nonn,cons

AUTHOR

Stanislav Sykora, Sep 17 2014

STATUS

approved

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Last modified May 22 20:08 EDT 2017. Contains 286906 sequences.