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A222072
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Decimal expansion of (1/384)*Pi^4.
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11
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2, 5, 3, 6, 6, 9, 5, 0, 7, 9, 0, 1, 0, 4, 8, 0, 1, 3, 6, 3, 6, 5, 6, 3, 3, 6, 6, 3, 7, 6, 8, 3, 6, 2, 2, 7, 2, 1, 2, 8, 3, 2, 2, 5, 4, 3, 5, 5, 9, 5, 1, 6, 1, 8, 9, 8, 8, 1, 9, 7, 5, 5, 0, 4, 9, 4, 7, 1, 5, 7, 6, 9, 4, 1, 8, 8, 2, 0, 8, 2, 3, 4, 1, 1, 7, 7, 5, 6, 9, 5, 9, 2, 3, 8, 3, 5, 9, 1, 8, 1, 0, 1
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OFFSET
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0,1
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COMMENTS
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Conjectured to be density of densest packing of equal spheres in 8 dimensions (achieved for example by the E_8 lattice).
The above conjecture is true (cf. Viazovska, 2017). - Felix Fröhlich, Jan 08 2018
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REFERENCES
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J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer, 3rd. ed., 1998. See p. xix.
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LINKS
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FORMULA
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Equals Sum_{n>=1} Sum_{k>=n} 1/(2*n - 1)^2/(2*k + 1)^2. - Geoffrey Critzer, Nov 03 2013
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EXAMPLE
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.25366950790104801363656336637683622721283225435595161898819...
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MATHEMATICA
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PROG
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CROSSREFS
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Related constants: A020769, A020789, A093766, A093825, A222066, A222067, A222068, A222069, A222070, A222071, A260646.
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KEYWORD
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AUTHOR
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STATUS
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approved
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