A090734 Decimal expansion of 4th Madelung constant (negated).

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

Offset

1,2

References

Steven R. Finch, Mathematical Constants, Cambridge, 2003, p. 77.

Links

Table of n, a(n) for n=1..105.

Formula

M_4 = -8*(5-3*sqrt(2))*zeta(1/2)*zeta(-1/2).

Example

-1.83939908404504706624730547956723047642278359481773...

Mathematica

RealDigits[8*(5 - 3*Sqrt[2])*Zeta[1/2]*Zeta[-1/2], 10, 120][[1]] (* Amiram Eldar, May 26 2023 *)

Prog

(PARI) 8*(5-3*sqrt(2))*zeta(1/2)*zeta(-1/2) \\ Charles R Greathouse IV, Jun 07 2016

Crossrefs

Cf. A059750, A088537, A085469.

Sequence in context: A058265 A357528 A135005 * A200614 A011467 A246671

Adjacent sequences: A090731 A090732 A090733 * A090735 A090736 A090737

Keyword

cons,nonn

Author

Benoit Cloitre, Jan 18 2004

Status

approved