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%I #14 Oct 01 2022 01:05:59
%S 3,2,9,8,5,0,8,9,0,2,7,3,8,7,0,6,8,6,9,3,8,2,1,0,6,5,0,3,7,4,4,5,1,1,
%T 7,0,3,6,9,4,4,7,9,0,9,1,5,6,1,8,3,4,3,8,5,3,1,9,5,4,6,5,6,1,3,5,3,5,
%U 1,0,4,4,9,3,3,1,7,1,4,5,7,9,9,8,2,9,6,2,7,0,0,0,1,2,7,9,9,7,4,7,7,5,7,6,8,6,2,9,0,0,0,5,4,6,3,5,9,5,9,3
%N Decimal expansion of 32*Pi^4/945.
%C Volume of the 9-dimensional unit sphere.
%C More generally, the ordinary generation function for the volume of the n-dimensional unit sphere is exp(Pi*x^2)*(erf(sqrt(Pi)*x) + 1) = 1 + 2*x + Pi*x^2 + (4*Pi/3)*x^3 + (Pi^2/2)*x^4 + ...
%H G. C. Greubel, <a href="/A276023/b276023.txt">Table of n, a(n) for n = 1..10000</a>
%H Ilya Gutkovskiy, <a href="/A276023/a276023.pdf">Volume of the n-dimensional unit sphere</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Hypersphere.html">Hypersphere</a>
%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F Equals 32*A092425*A021949.
%e 3.2985089027387068693821065037445117...
%t RealDigits[(32 Pi^4)/945, 10, 120][[1]]
%o (PARI) (32*Pi^4)/945 \\ _G. C. Greubel_, Apr 09 2017
%Y Cf. A021949, A092425.
%Y Cf. similar sequences of the volume of the n-dimensional unit sphere: A000796 (n = 2), 10*A019699 (n = 3), A102753 (n = 4), A164103 (n = 5), A164105 (n = 6), A164106 (n = 7), A164108 (n = 8).
%K nonn,cons
%O 1,1
%A _Ilya Gutkovskiy_, Aug 16 2016
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