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A086467
Decimal expansion of 2*arccsch(2)^2.
5
4, 6, 3, 1, 2, 9, 6, 4, 1, 1, 5, 4, 3, 8, 8, 7, 8, 4, 9, 9, 3, 8, 5, 8, 1, 4, 2, 4, 6, 3, 0, 6, 5, 5, 2, 0, 0, 3, 2, 8, 1, 2, 7, 0, 0, 0, 9, 8, 5, 9, 7, 7, 4, 1, 6, 3, 0, 6, 0, 2, 4, 5, 7, 3, 7, 9, 5, 9, 0, 6, 9, 1, 1, 3, 3, 9, 2, 3, 6, 2, 5, 9, 7, 0, 1, 0, 9, 0, 9, 4, 1, 7, 2, 7, 7, 6, 7, 9, 0, 1, 1, 1
OFFSET
0,1
LINKS
Steven R. Finch, Mathematical Constants II, Encyclopedia of Mathematics and Its Applications, Cambridge University Press, Cambridge, 2018, p. 77.
Renzo Sprugnoli, Sums of reciprocals of the central binomial coefficients, INTEGERS 6 (2006) #A27
Eric Weisstein's World of Mathematics, Central Binomial Coefficient
FORMULA
Equals Sum_{n>=1} (-1)^(n-1)/n^2/binomial(2*n,n).
Equals Integral_{x=0..1} log(1+x-x^2)/x dx. - Vaclav Kotesovec, Jun 13 2021
Equals 2*A002390^2. - R. J. Mathar, Jun 07 2024
EXAMPLE
0.4631296...
MATHEMATICA
RealDigits[2ArcCsch[2]^2, 10, 120][[1]] (* Harvey P. Dale, Mar 07 2012 *)
PROG
(PARI) suminf(n=1, (-1)^(n-1)/n^2/binomial(2*n, n)) \\ Michel Marcus, Jul 31 2015
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Jul 21 2003
STATUS
approved