A379101 Decimal expansion of log(2)/4.

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

Offset: 0

Author

Stefano Spezia, Dec 15 2024

Keywords

• nonn
• cons

Examples

			0.17328679513998632735430803036454414201887503359006...
		

References

• Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 5.24.2, p. 414.

Crossrefs

Cf. A001505, A002162, A010767, A016655.

Programs

Mathematica

RealDigits[Log[2]/4, 10, 100][[1]]

PARI

log(2)/4 \\ Amiram Eldar, Aug 19 2025

Formula

Equals log(A010767) = A016655/20. - Hugo Pfoertner, Dec 15 2024

From Amiram Eldar, Aug 19 2025: (Start)

Equals -Sum_{k>=0} zeta(2*k)/(2^(2*k+1)*(2*k+1)).

Equals Sum_{k>=0} 1/((4*k + 1)*(4*k + 2)*(4*k + 3)) = Sum_{k>=0} 1/A001505(k). (End)