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

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

Prog

(PARI) 1/besseljzero(0)^2 \\ Charles R Greathouse IV, Aug 23 2022

Crossrefs

Cf. A115368.

Sequence in context: A198673 A379556 A086236 * A125126 A240953 A092036

Adjacent sequences: A244351 A244352 A244353 * A244355 A244356 A244357

Keyword

nonn,cons,easy,changed

Author

Jean-François Alcover, Jun 26 2014

Status

approved