A377567 Decimal expansion of 3*zeta(3)/2 + 12*log(2) - 10.

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

Offset

0,2

References

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.6.3, p. 44.

Links

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

Michael I. Shamos, A catalog of the real numbers, (2007). See p. 159.

Formula

Equals Sum_{k>=1} (-1)^(k+1)/(k^3*(k + 1)^3) (see Finch and Shamos).

Example

0.12085152145873514110639269976529380305348105083381

Mathematica

RealDigits[3Zeta[3]/2+12Log[2]-10, 10, 100][[1]]

Crossrefs

Cf. A002117, A002162, A060459.

Sequence in context: A185348 A321599 A020780 * A334071 A243406 A293934

Adjacent sequences: A377564 A377565 A377566 * A377568 A377569 A377570

Keyword

nonn,cons

Author

Stefano Spezia, Nov 03 2024

Status

approved