A244354 - OEIS

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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.

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