A337440 Decimal expansion of Pi*(3 - 2*sqrt(2)).

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

Offset: 0

Author

Hugo Pfoertner, Sep 06 2020

Keywords

• nonn
• cons

Comments

This is the area of the largest semicircle that can be inscribed in the unit square.

Examples

			0.53901208445264722135616816971712125536226481937393701675404256301...
		

Links

• Nick Hobson, Solution to puzzle 153: Semicircle in a square, 2007.
• Index entries for transcendental numbers

Crossrefs

Cf. A000796, A010466, A157259.

Programs

Mathematica

RealDigits[Pi*[3-Sqrt[8]], 10, 120][[1]] (* Omar E. Pol, Sep 06 2020 *)

PARI

Pi*(3-2*sqrt(2))

Formula

Equals A000796*(3 - A010466) = A000796*(A157259 - 4). - Omar E. Pol, Sep 06 2020