A276023 Decimal expansion of 32*Pi^4/945.

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, 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, 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

Offset: 1

Author

Ilya Gutkovskiy, Aug 16 2016

Keywords

• nonn
• cons

Comments

Volume of the 9-dimensional unit sphere.

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 + ...

Examples

			3.2985089027387068693821065037445117...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000
• Ilya Gutkovskiy, Volume of the n-dimensional unit sphere
• Eric Weisstein's World of Mathematics, Hypersphere
• Index entries for transcendental numbers

Crossrefs

Cf. A021949, A092425.

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).

Programs

Mathematica

RealDigits[(32 Pi^4)/945, 10, 120][[1]]

PARI

(32*Pi^4)/945 \\ G. C. Greubel, Apr 09 2017

Formula

Equals 32*A092425*A021949.