A396706 - OEIS

%I #10 Jun 03 2026 08:46:04

%S 5,7,4,2,8,1,4,5,0,8,3,3,4,8,0,9,2,2,8,3,9,1,0,7,6,3,3,9,1,8,5,7,1,4,

%T 0,2,9,7,2,5,9,1,0,5,1,8,1,1,2,6,9,4,7,7,8,8,8,3,6,4,2,3,4,9,7,1,4,8,

%U 1,0,3,3,7,4,7,4,9,9,6,6,5,1,7,7,0,0,2,7,1,3,8,7,9,0,4,6,6,0,9,0,4,6,0,8,4,6,9,4,9,2,3,8,0,5,9

%N Decimal expansion of spherical cap height divided by sphere radius, the cap volume being 1/5 of the sphere volume.

%H Paolo Xausa, <a href="/A396706/b396706.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Al#algebraic_03">Index entries for algebraic numbers, degree 3</a>.

%F Minimal polynomial 5*x^3-15*x^2+4.

%e 0.574281450..

%t First[RealDigits[Root[5*#^3 - 15*#^2 + 4 &, 2], 10, 100]] (* _Paolo Xausa_, Jun 03 2026 *)

%Y Cf. A000007 (ratio 1/2), A220052 (ratio 1/3), A178959 (ratio 1/4), A396707 (ratio 1/6).

%K nonn,cons

%O 0,1

%A _R. J. Mathar_, Jun 03 2026