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

2,1

Comments

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

Links

Table of n, a(n) for n=2..91.

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

Formula

Equals 24*A195696 = 2*A377277.

Example

22.9275988349882226759325704603781861018419526802...

Mathematica

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

Prog

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

Crossrefs

Cf. A195696, A377277.

Sequence in context: A037289 A037290 A155936 * A167594 A108462 A327859

Adjacent sequences: A377293 A377294 A377295 * A377297 A377298 A377299

Keyword

nonn,cons,easy

Author

Paolo Xausa, Oct 24 2024

Status

approved