A378589 Decimal expansion of (1 - 2*A143304)/4.

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

Offset

0,1

References

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 2.18, p. 157.

Links

Table of n, a(n) for n=0..99.

Formula

Equals (1 + 2*(Pi^2 - 6*log(2)*(24*log(A074962) + 2*gamma + log(2) - 2 * log(Pi) - 3))/Pi^2)/4.

Example

0.217324287038481339310608686618446034593487731575...

Mathematica

RealDigits[(1+2(Pi^2 - 6*Log[2]*(24*Log[Glaisher] + 2*EulerGamma + Log[2] - 2*Log[Pi] - 3))/Pi^2)/4, 10, 100][[1]]

Crossrefs

Cf. A143304.

Cf. A001620, A002162, A002388, A053510, A074962, A086237, A225746.

Sequence in context: A320579 A091370 A125697 * A090699 A214550 A120903

Adjacent sequences: A378586 A378587 A378588 * A378590 A378591 A378592

Keyword

nonn,cons

Author

Stefano Spezia, Dec 01 2024

Status

approved