A343965 Decimal expansion of 4 + 10*sqrt(2)/3.

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

Offset

1,1

Comments

Volume of a rhombicuboctahedron with unit edge length.

Apart from the leading digit and offset the same as A131594. - R. J. Mathar, May 07 2021

Links

Table of n, a(n) for n=1..100.

Polytope Wiki, Small rhombicuboctahedron.

Eric Weisstein's World of Mathematics, Small Rhombicuboctahedron.

Wikipedia, Rhombicuboctahedron.

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 9*x^2 - 72*x - 56. - Amiram Eldar, Jun 02 2026

Example

8.7140452079103168293389624140323269285655729...

Mathematica

RealDigits[N[4 + 10*Sqrt[2]/3, 100]][[1]] (* Wesley Ivan Hurt, Nov 12 2022 *)

Prog

(Magma) SetDefaultRealField(RealField(100)); 4+10*Sqrt(2)/3;
(PARI) 4+10*sqrt(2)/3 \\ Charles R Greathouse IV, May 18 2026

Crossrefs

Cf. A343964 (rhombicuboctahedron surface area), A131594.

Sequence in context: A362120 A362122 A255699 * A201768 A019814 A010528

Adjacent sequences: A343962 A343963 A343964 * A343966 A343967 A343968

Keyword

nonn,cons

Author

Wesley Ivan Hurt, May 05 2021

Status

approved