A093761 Denominators of Pi-dependent part of even terms in the probability of obtaining an acute triangle by picking n points at random in the unit n-ball.

1, 45, 315, 606375, 7640325, 18573630075, 655383804075, 38264331330225, 916111865931136875, 100955527625611283625, 2139180694732706625, 26851955023354986149625, 1684402483265040315792015

Offset

2,2

Links

Table of n, a(n) for n=2..14.

Eric Weisstein's World of Mathematics, Ball Triangle Picking

Example

-1/8+4/Pi^2, 33/70, 1/32+256/(45Pi^2), 1415/2002, 31/256+2048/(315Pi^2), 231161/277134, ...

Crossrefs

Cf. A093756, A093757, A093758, A093759, A093761.

Sequence in context: A064561 A291177 A341568 * A324458 A073873 A272850

Adjacent sequences: A093758 A093759 A093760 * A093762 A093763 A093764

Keyword

nonn,frac

Author

Eric W. Weisstein, Apr 15 2004

Status

approved