OFFSET
0,3
COMMENTS
Continued fraction expansion of Sum_{k>=1} (-1)^(k-1)/k^2 = Zeta(2)/2 = Pi^2/12 = 0.8224670334241132182362...
LINKS
OEIS Wiki, Euler's alternating zeta function
Eric Weisstein's World of Mathematics, Dirichlet Eta Function
Wikipedia, Dirichlet Eta Function
EXAMPLE
1/1^2 - 1/2^2 + 1/3^2 - 1/4^2 + 1/5^2 - 1/6^2 +... = 1/(1 + 1/(4 + 1/(1 + 1/(1 + 1/(1 + 1/(2 + 1/...)))))).
MATHEMATICA
ContinuedFraction[Pi^2/12, 100]
PROG
(PARI) contfrac(Pi^2/12) \\ Michel Marcus, Feb 26 2016
CROSSREFS
KEYWORD
nonn,cofr
AUTHOR
Ilya Gutkovskiy, Feb 26 2016
STATUS
approved