A352455 Decimal expansion of the surface area of the solid formed by the intersection of 8 unit-radius spheres that have the vertices of a unit-side cube as centers.

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

Offset

0,1

Comments

The volume of the solid formed by the intersection is A352454.

Links

Table of n, a(n) for n=0..104.

Kee-wai Lau, Problem 1189, Crux Mathematicorum, Vol. 12, No. 9 (1986), p. 242; Solution to Problem 1189, by Rex Westbrook, ibid., Vol. 14, No. 2 (1988), pp. 51-53.

Formula

Equals 22*Pi - 72*arctan(sqrt(2)).

Example

0.33224187401078321838044305101450514681186874553193...

Mathematica

RealDigits[22*Pi - 72*ArcTan[Sqrt[2]], 10, 100][[1]]

Crossrefs

Cf. A195696, A202473, A336198, A352454.

Sequence in context: A162235 A113780 A007515 * A293729 A319297 A309569

Adjacent sequences: A352452 A352453 A352454 * A352456 A352457 A352458

Keyword

nonn,cons

Author

Amiram Eldar, Mar 16 2022

Status

approved