A377296 Decimal expansion of 24*arctan(sqrt(2)).

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

Offset: 2

Author

Paolo Xausa, Oct 24 2024

Keywords

• nonn
• cons
• easy

Comments

Dehn invariant of a regular octahedron and (small) rhombicuboctahedron with unit edge and (negated) of a cuboctahedron and truncated cube with unit edge.

Examples

			22.9275988349882226759325704603781861018419526802...
		

Links

• Eric Weisstein's World of Mathematics, Dehn Invariant.
• Eric Weisstein's World of Mathematics, Cuboctahedron.
• Eric Weisstein's World of Mathematics, Regular Octahedron.
• Eric Weisstein's World of Mathematics, Small Rhombicuboctahedron.
• Eric Weisstein's World of Mathematics, Truncated Cube.
• Index entries for transcendental numbers

Crossrefs

Cf. A195696, A377277.

Programs

Mathematica

First[RealDigits[24*ArcTan[Sqrt[2]], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["Octahedron", "DehnInvariant"], 10, 100]]

PARI

24*atan(sqrt(2)) \\ Charles R Greathouse IV, Nov 20 2024

Formula

Equals 24*A195696 = 2*A377277.