A396707 - OEIS

%I #9 Jun 03 2026 08:45:06

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

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

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

%N Decimal expansion of a spherical cap height divided by sphere radius, the cap volume being 1/6 of the sphere volume.

%H Paolo Xausa, <a href="/A396707/b396707.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 3*x^3-9*x^2+2.

%e 0.518298029488629354...

%t First[RealDigits[Root[3*#^3 - 9*#^2 + 2 &, 2], 10, 100]] (* _Paolo Xausa_, Jun 03 2026 *)

%Y Cf. A000007 (ratio 1/2), A220052 (ratio 1/3), A178959 (ratio 1/4), A396706 (ratio 1/5).

%K nonn,cons

%O 0,1

%A _R. J. Mathar_, Jun 03 2026