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A396707
Decimal expansion of a spherical cap height divided by sphere radius, the cap volume being 1/6 of the sphere volume.
3
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, 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, 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
OFFSET
0,1
FORMULA
Minimal polynomial 3*x^3-9*x^2+2.
EXAMPLE
0.518298029488629354...
MATHEMATICA
First[RealDigits[Root[3*#^3 - 9*#^2 + 2 &, 2], 10, 100]] (* Paolo Xausa, Jun 03 2026 *)
CROSSREFS
Cf. A000007 (ratio 1/2), A220052 (ratio 1/3), A178959 (ratio 1/4), A396706 (ratio 1/5).
Sequence in context: A347955 A349133 A347131 * A350515 A073116 A201525
KEYWORD
nonn,cons
AUTHOR
R. J. Mathar, Jun 03 2026
STATUS
approved