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A175477 Decimal expansion of the dimension in which the sphere of unit radius has unit volume. 0
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

2,2

COMMENTS

The solution x to Pi^(x/2)/Gamma(x/2+1) = 1. Then Pi^(x/2) = 3.1415926...^(12.764.../2) = 1488.75641500529701...

LINKS

Table of n, a(n) for n=2..106.

Wikipedia, N-sphere

EXAMPLE

12.764052935032681271263280950768574761998...

MATHEMATICA

x /. FindRoot[ Pi^(x/2)/Gamma[x/2 + 1] == 1, {x, 12}, WorkingPrecision -> 105] // RealDigits[#, 10, 105] & // First (* Jean-Fran├žois Alcover, Feb 12 2013 *)

PROG

(PARI) solve(x=9, 13, Pi^(x/2)-gamma(x/2+1)) \\ Charles R Greathouse IV, Jan 30 2016

CROSSREFS

Sequence in context: A021366 A135155 A244847 * A011263 A074067 A110988

Adjacent sequences:  A175474 A175475 A175476 * A175478 A175479 A175480

KEYWORD

cons,easy,nonn

AUTHOR

R. J. Mathar, May 25 2010

STATUS

approved

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Last modified March 21 22:19 EDT 2019. Contains 321382 sequences. (Running on oeis4.)