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A090734
Decimal expansion of 4th Madelung constant (negated).
8
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.
FORMULA
M_4 = -8*(5-3*sqrt(2))*zeta(1/2)*zeta(-1/2) = -8 *(A157122-6) * A059750 * A211113.
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
KEYWORD
cons,nonn
AUTHOR
Benoit Cloitre, Jan 18 2004
STATUS
approved