A257870 Decimal expansion of the Madelung type constant C(1|1/4) (negated).

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

Offset: 2

Author

Jean-François Alcover, May 11 2015

Keywords

• nonn
• cons
• easy

Examples

			-10.58935155331315207613722106085351454465270665502975898976765...
		

Links

• Hassan Chamati and Nicholay S. Tonchev, Exact results for some Madelung type constants in the finite-size scaling theory, arXiv:cond-mat/0003235 [cond-mat.stat-mech] (2000).
• Eric Weisstein's World of Mathematics, Madelung Constants.

Crossrefs

Cf. A257871, A257872.

Programs

Maple

evalf(2*GAMMA(1/4)*Zeta(1/2),120); # Vaclav Kotesovec, May 11 2015

Mathematica

RealDigits[2*Gamma[1/4]*Zeta[1/2], 10, 105] // First

PARI

-2*gamma(1/4)*zeta(1/2) \\ Charles R Greathouse IV, May 11 2015

Formula

2*gamma(1/4)*zeta(1/2).