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A115368 Decimal expansion of first zero of the Bessel function J_0(z). 16
2, 4, 0, 4, 8, 2, 5, 5, 5, 7, 6, 9, 5, 7, 7, 2, 7, 6, 8, 6, 2, 1, 6, 3, 1, 8, 7, 9, 3, 2, 6, 4, 5, 4, 6, 4, 3, 1, 2, 4, 2, 4, 4, 9, 0, 9, 1, 4, 5, 9, 6, 7, 1, 3, 5, 7, 0, 6, 9, 9, 9, 0, 9, 0, 5, 9, 6, 7, 6, 5, 8, 3, 8, 6, 7, 7, 1, 9, 4, 0, 2, 9, 2, 0, 4, 4, 3, 6, 3, 4, 3, 7, 6, 0, 1, 4, 5, 2, 5, 4, 7, 8, 6, 8, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

"This [constant] arises from the study of a vibrating, homogeneous membrane that is uniformly stretched across the unit disk. [Its square] is the principal frequency of the sound one hears when a kettledrum is struck." - Quoted from the book by Steven R. Finch.

REFERENCES

Chi Keung Cheung et al., Getting Started with Mathematica, 2nd Ed. New York: J. Wiley (2005) p. 7.

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, p. 221.

LINKS

Table of n, a(n) for n=1..105.

Eric Weisstein's World of Mathematics, Bessel Function Zeros

EXAMPLE

2.4048255576957727686...

MATHEMATICA

RealDigits[BesselJZero[0, 1], 10, 120][[1]] (* Alonso del Arte, May 06 2011 *)

PROG

(PARI) solve(x=2, 3, besselj(0, x)) \\ Charles R Greathouse IV, Feb 19 2014

CROSSREFS

Cf. A115369, A115370, A115371, A115372, A115373.

Cf. A000275, A002190, A188489, A181167, A181168.

Sequence in context: A134352 A152648 A140875 * A086932 A221255 A256487

Adjacent sequences:  A115365 A115366 A115367 * A115369 A115370 A115371

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Jan 21 2006

STATUS

approved

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Last modified June 26 02:24 EDT 2017. Contains 288749 sequences.