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A175477
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Decimal expansion of the dimension in which the sphere of unit radius has unit volume.
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0
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1, 2, 7, 6, 4, 0, 5, 2, 9, 3, 5, 0, 3, 2, 6, 8, 1, 2, 7, 1, 2, 6, 3, 2, 8, 0, 9, 5, 0, 7, 6, 8, 5, 7, 4, 7, 6, 1, 9, 9, 8, 4, 0, 4, 7, 3, 2, 5, 6, 1, 4, 3, 7, 0, 6, 0, 5, 8, 7, 5, 7, 2, 0, 7, 4, 1, 3, 0, 0, 9, 6, 0, 2, 7, 2, 5, 6, 1, 9, 6, 2, 2, 0, 8, 2, 7, 1, 0, 6, 4, 7, 8, 3, 6, 4, 9, 0, 5, 4, 6, 6, 9, 5, 4, 8
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OFFSET
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2,2
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COMMENTS
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The solution x to Pi^(x/2)/Gamma(x/2+1) = 1. Then Pi^(x/2) = 3.1415926...^(12.764.../2) = 1488.75641500529701...
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LINKS
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Table of n, a(n) for n=2..106.
Anonmyous, N-sphere, Wikipedia.
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EXAMPLE
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12.764052935032681271263280950768574761998...
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MATHEMATICA
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x /. FindRoot[ Pi^(x/2)/Gamma[x/2 + 1] == 1, {x, 12}, WorkingPrecision -> 105] // RealDigits[#, 10, 105] & // First (* Jean-François Alcover, Feb 12 2013 *)
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CROSSREFS
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Sequence in context: A070524 A021366 A135155 * A011263 A074067 A110988
Adjacent sequences: A175474 A175475 A175476 * A175478 A175479 A175480
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KEYWORD
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cons,easy,nonn
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AUTHOR
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R. J. Mathar, May 25 2010
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STATUS
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approved
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