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A257870 Decimal expansion of the Madelung type constant C(1|1/4) (negated). 3

%I #14 Mar 04 2023 10:05:25

%S 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,

%T 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,

%U 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

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

%H Hassan Chamati and Nicholay S. Tonchev, <a href="http://arxiv.org/abs/cond-mat/0003235">Exact results for some Madelung type constants in the finite-size scaling theory</a>, arXiv:cond-mat/0003235 [cond-mat.stat-mech] (2000).

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/MadelungConstants.html">Madelung Constants</a>.

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

%e -10.58935155331315207613722106085351454465270665502975898976765...

%p evalf(2*GAMMA(1/4)*Zeta(1/2),120); # _Vaclav Kotesovec_, May 11 2015

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

%o (PARI) -2*gamma(1/4)*zeta(1/2) \\ _Charles R Greathouse IV_, May 11 2015

%Y Cf. A257871, A257872.

%K nonn,cons,easy

%O 2,3

%A _Jean-François Alcover_, May 11 2015

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Last modified September 16 07:48 EDT 2024. Contains 375959 sequences. (Running on oeis4.)