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A262701
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Decimal expansion of lowest Dirichlet eigenvalue of the Laplacian within a certain L-shaped region.
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2
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9, 6, 3, 9, 7, 2, 3, 8, 4, 4, 0, 2, 1, 9, 4, 1, 0, 5, 2, 7, 1, 1, 4, 5, 9, 2, 6, 2, 3, 6, 4, 8, 2, 3, 1, 5, 6, 2, 6, 7, 2, 8, 9, 5, 2, 5, 8, 2, 1, 9, 0, 6, 4, 5, 6, 1, 0, 9, 5, 7, 9, 7, 0, 0, 5, 6, 4, 0, 3, 5, 6, 4, 7, 8, 6, 3, 3, 7, 0, 3, 9, 0, 7, 2, 2, 8, 7, 3, 1, 6, 5, 0, 0, 8, 7, 9, 6, 7, 8, 8, 8, 3, 1, 1, 5
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OFFSET
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1,1
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COMMENTS
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This is the lowest Dirichlet eigenvalue of the Laplacian within the famous L-shape formed by joining two unit-edged squares to adjacent edges of a third. The familiar logo of MathWorks, publisher of MATLAB, is created from the corresponding lowest eigenfunction, with some artistic license. I simply extended the original Fox-Henrici-Moler 1967 eigenvalue calculation to just over 1000 digits using a method substantially identical to the method described in the Fox et al. paper.
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LINKS
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EXAMPLE
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9.639723844021941052711459262364823156267289525821906456109579700564035647863370...
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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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