A387235 Decimal expansion of 2*log(2)/3.

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

Offset: 0

Author

Stefano Spezia, Aug 23 2025

Keywords

• nonn
• cons
• new

Comments

Area enclosed by the curve of the equation x^6 + y^6 - x^3*y + x*y^3 = 0.

The asymptotic mean of A256232. - Amiram Eldar, Aug 23 2025

Examples

			0.46209812037329687294482141430545104538366675624...
		

Links

• Michael I. Shamos, A catalog of the real numbers, (2007). See p. 436.
• Index entries for transcendental numbers.

Crossrefs

Cf. A002162, A001504, A010701, A010722, A016627, A193535, A256232.

Programs

Mathematica

RealDigits[2Log[2]/3,10,100][[1]]

Formula

Equals A002162*A010722.

Equals log(4)/3 = A010701*A016627.

Equals Sum_{k>=0} (-1)^k/((3*k + 1)*(3*k + 2)) = Integral_{x=0..1} x^2*log(1 + 1/x^3) = -Integral_{x=0..1} log[1 - x^6]/x^4. [Shamos]

Equals A016627/3 = 2*A193535. - Hugo Pfoertner, Aug 23 2025