A389892 Decimal expansion of Pi^2/3 - gamma/2, where gamma is the Euler-Mascheroni constant.

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

Offset

1,1

Comments

The summation formula given by Shamos is divergent.

Links

Table of n, a(n) for n=1..100.

Michael I. Shamos, Shamos's Catalog of the Real Numbers, 2011, p. 29.

Formula

Equals 2 * A013661 - (1/2) * A001620 = 2 * zeta(2) - (1/2) * gamma.

Example

3.001260301245686442641574288250849162916820134443635...

Mathematica

First[RealDigits[Pi^2/3 - EulerGamma/2, 10, 100]]

Crossrefs

Cf. A001620, A013661.

Sequence in context: A163541 A280815 A165974 * A090622 A035696 A170840

Adjacent sequences: A389889 A389890 A389891 * A389893 A389894 A389895

Keyword

nonn,cons

Author

Jason Bard, Oct 18 2025

Status

approved