A336198 Decimal expansion of the radius of a sphere centered on the surface of a unit-radius sphere and dividing it into two parts of equal volume.

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

Offset

1,2

Comments

The solution to the grazing goat problem in three dimensions.

Links

Table of n, a(n) for n=1..87.

Marshall Fraser, The Grazing Goat in n Dimensions, The Two-Year College Mathematics Journal, Vol. 15, No. 2 (1984), pp. 126-134.

Mark D. Meyerson, Return of the Grazing Goat in n Dimensions, The College Mathematics Journal, Vol. 15, No. 5 (1984), pp. 430-432.

Eric Weisstein's World of Mathematics, Goat Problem.

Wikipedia, Goat problem.

Formula

The smaller of the 2 real roots of the equation 3*x^4 - 8*x^3 + 8 = 0.

Example

1.228544863735220903448994497685293465644191645518602...

Mathematica

RealDigits[x /. Solve[3*x^4 - 8*x^3 + 8 == 0 && x > 0, {x}, Reals][[1]], 10, 100][[1]]

Crossrefs

Cf. A019699, A133731.

Sequence in context: A075101 A075103 A021818 * A241328 A223041 A024558

Adjacent sequences: A336195 A336196 A336197 * A336199 A336200 A336201

Keyword

nonn,cons

Author

Amiram Eldar, Jul 11 2020

Status

approved