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A396706
Decimal expansion of spherical cap height divided by sphere radius, the cap volume being 1/5 of the sphere volume.
4
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, 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, 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
OFFSET
0,1
FORMULA
Minimal polynomial 5*x^3-15*x^2+4.
EXAMPLE
0.574281450..
MATHEMATICA
First[RealDigits[Root[5*#^3 - 15*#^2 + 4 &, 2], 10, 100]] (* Paolo Xausa, Jun 03 2026 *)
CROSSREFS
Cf. A000007 (ratio 1/2), A220052 (ratio 1/3), A178959 (ratio 1/4), A396707 (ratio 1/6).
Sequence in context: A258162 A021868 A243395 * A389070 A245655 A011497
KEYWORD
nonn,cons
AUTHOR
R. J. Mathar, Jun 03 2026
STATUS
approved