

A244354


Decimal expansion of 'mu', a Sobolev isoperimetric constant related to the "membrane inequality", arising from the study of a vibrating membrane that is stretched across the unit disk and fastened at its boundary.


3



1, 7, 2, 9, 1, 5, 0, 6, 9, 0, 3, 0, 6, 4, 4, 9, 2, 6, 9, 1, 8, 8, 6, 6, 8, 3, 4, 4, 3, 0, 1, 0, 3, 7, 1, 4, 9, 0, 2, 0, 0, 6, 7, 1, 1, 5, 9, 2, 8, 3, 9, 2, 2, 5, 6, 4, 6, 0, 6, 8, 0, 8, 4, 8, 2, 9, 4, 8, 1, 0, 6, 3, 1, 6, 3, 1, 5, 6, 3, 9, 9, 8, 8, 7, 3, 2, 4, 4, 0, 0, 9, 0, 1, 8, 3, 5, 8, 9, 5, 1, 8, 2, 2, 5
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OFFSET

0,2


REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 3.6 Sobolev Isoperimetric Constants, p. 221.


LINKS

Table of n, a(n) for n=0..103.
Eric Weisstein's MathWorld, Bessel Function Zeros
Index entries for transcendental numbers


FORMULA

mu = 1/theta^2, where theta is A115368, the first positive zero of the Bessel function J0(x).


EXAMPLE

0.17291506903064492691886683443...


MATHEMATICA

theta = BesselJZero[0, 1]; mu = 1/theta^2; RealDigits[mu, 10, 104] // First


CROSSREFS

Cf. A115368.
Sequence in context: A048836 A198673 A086236 * A125126 A240953 A092036
Adjacent sequences: A244351 A244352 A244353 * A244355 A244356 A244357


KEYWORD

nonn,cons,easy


AUTHOR

JeanFrançois Alcover, Jun 26 2014


STATUS

approved



