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Search: id:A074457
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| A074457 |
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Consider surface area of unit sphere as a function of the dimension d; maximize this as a function of d (considered as a continuous variable); sequence gives decimal expansion of the best d. |
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+0
5
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| 7, 2, 5, 6, 9, 4, 6, 4, 0, 4, 8, 6, 0, 5, 7, 6, 7, 8, 0, 1, 3, 2, 8, 3, 8, 3, 8, 8, 6, 9, 0, 7, 6, 9, 2, 3, 6, 6, 1, 9, 0, 1, 7, 2, 3, 7, 1, 8, 3, 2, 1, 4, 8, 5, 7, 5, 0, 9, 8, 7, 9, 6, 7, 8, 7, 7, 7, 1, 0, 9, 3, 4, 6, 7, 3, 6, 8, 2, 0, 2, 7, 2, 8, 1, 7, 7, 2, 0, 2, 3, 8, 4, 8, 9, 7, 9, 2, 4, 6, 9, 2, 6
(list; cons; graph; listen)
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OFFSET
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1,1
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COMMENT
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Equals 2 + A074455.
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LINKS
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Eric Weisstein's World of Mathematics, Hypersphere
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EXAMPLE
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7.2569464048605767801328383886907692366190172371832148575098796787771093\
4673682027281772023848979246926957...
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MATHEMATICA
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RealDigits[ FindMinimum[ -n*Pi^(n/2)/(n/2)!, {n, 7}, WorkingPrecision -> 125] [[2, 1, 2]]] [[1]]
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CROSSREFS
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Surface area is A074456. Cf. A072478 & A072479.
Sequence in context: A011477 A093072 A066903 this_sequence A072761 A127885 A006577
Adjacent sequences: A074454 A074455 A074456 this_sequence A074458 A074459 A074460
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KEYWORD
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cons,nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 22 2002
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EXTENSIONS
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Corrected by Eric Weisstein (eric(AT)weisstein.com), Aug 31, 2003 and by Martin Fuller (martin_n_fuller(AT)btinternet.com), Jul 12 2007
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