cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-2 of 2 results.

A379425 Decimal expansion of Ni_2 = gamma/3 - log(2*Pi)/2 - 2*zeta'(-1) + 2/3, where gamma = A001620.

Original entry on oeis.org

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

Views

Author

Artur Jasinski, Dec 22 2024

Keywords

Examples

			0.270975642496740070183013614107411122680728399012594687451148817...
		

Crossrefs

Cf. A000796, A001620, A074962, A131688 (Ni_-1), A321943 (Ni_1), A379751 (Ni_3).

Programs

  • Mathematica
    RealDigits[EulerGamma/3 - Log[2 Pi]/2 + 2/3 - 2 Zeta'[-1], 10, 105][[1]]

Formula

Equals Sum_{s>=2} (-1)^(s)*zeta(s)/(s+2).
Equals A001620/3 - log(2*A000796)/2 + 2*log(A074962) + 1/2.

A379751 Decimal expansion of Ni_3 = gamma/4 - log(2*Pi)/2 - 3*zeta'(-1) + 3*zeta'(-2) + 7/12, where gamma = A001620.

Original entry on oeis.org

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

Views

Author

Artur Jasinski, Jan 01 2025

Keywords

Crossrefs

Cf. A000796, A001620, A074962, A131688 (Ni_-1), A321943 (Ni_1), A379425 (Ni_2).

Programs

  • Mathematica
    RealDigits[EulerGamma/4 - Log[2 Pi]/2 - 3 Zeta'[-1] + 3 Zeta'[-2] + 7/12, 10, 105][[1]]

Formula

Equals Sum_{s>=2} (-1)^(s)*zeta(s)/(s+3).
Showing 1-2 of 2 results.