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A244347
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Decimal expansion of 'mu', a Sobolev isoperimetric constant related to the "rod inequality", arising from the elasticity study of a rod that is clamped at both ends.
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3
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0, 0, 1, 9, 9, 7, 7, 4, 6, 9, 3, 4, 0, 5, 3, 8, 8, 6, 2, 6, 2, 0, 1, 9, 7, 1, 1, 6, 7, 4, 8, 4, 8, 5, 9, 7, 2, 0, 9, 9, 9, 7, 5, 6, 0, 6, 2, 4, 4, 9, 3, 6, 9, 1, 6, 9, 6, 6, 7, 8, 5, 9, 5, 1, 7, 6, 7, 2, 8, 3, 9, 9, 5, 5, 4, 4, 1, 3, 2, 5, 2, 6, 4, 6, 2, 7, 2, 0, 2, 1, 9, 1, 6, 1, 6, 1, 2, 7, 4, 8, 2, 9, 8, 8, 5, 9
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OFFSET
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0,4
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REFERENCES
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Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 3.6 Sobolev Isoperimetric Constants, p. 221.
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LINKS
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FORMULA
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mu = 1/theta^4, where theta is A076414.
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EXAMPLE
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0.001997746934053886262...
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MATHEMATICA
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digits = 104; theta = x /. FindRoot[Cos[x]*Cosh[x] == 1, {x, 5}, WorkingPrecision -> digits+10]; mu = 1/theta^4; Join[{0, 0}, RealDigits[mu, 10, digits] // First]
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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