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A213053 Decimal expansion of the absolute minimum of sinc(x) = sin(x)/x (negated) 1
2, 1, 7, 2, 3, 3, 6, 2, 8, 2, 1, 1, 2, 2, 1, 6, 5, 7, 4, 0, 8, 2, 7, 9, 3, 2, 5, 5, 6, 2, 4, 7, 0, 7, 3, 4, 2, 2, 3, 0, 4, 4, 9, 1, 5, 4, 3, 5, 5, 8, 7, 4, 8, 2, 3, 6, 5, 4, 4, 9, 0, 2, 7, 7, 1, 4, 5, 0, 5, 3, 4, 3, 5, 8, 9, 0, 6, 3, 2, 2, 9, 1, 8, 5, 5, 6, 8, 0, 5, 0, 6, 5, 3, 9, 2, 3, 5, 4, 9, 5, 1, 5, 2, 0, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Minimum value of the first negative lobe of sinc(x), attained for |x| = A115365

LINKS

Table of n, a(n) for n=0..104.

EXAMPLE

min[real x](sinc(x)) = -0.2172336282112216574082...

MATHEMATICA

digits = 105; NMinimize[ Sinc[x], x, WorkingPrecision -> digits+5] // First // RealDigits[#, 10, digits]& // First (* Jean-Fran├žois Alcover, Mar 05 2013 *)

RealDigits[Sinc[BesselJZero[3/2, 1]], 10, 100][[1]] (* Vladimir Reshetnikov, May 13 2016 *)

PROG

(PARI) y=solve(x=4, 4.5, tan(x)-x); -sin(y)/y \\ Charles R Greathouse IV, Jun 10 2012

CROSSREFS

Cf. A115365.

Sequence in context: A144446 A121416 A089329 * A200236 A239155 A097411

Adjacent sequences:  A213050 A213051 A213052 * A213054 A213055 A213056

KEYWORD

nonn,cons

AUTHOR

Stanislav Sykora, Jun 09 2012

STATUS

approved

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Last modified March 29 21:48 EDT 2017. Contains 284288 sequences.