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Continued fraction for 8th Du Bois Reymond constant.
6

%I #6 Sep 09 2013 11:12:10

%S 0,99232,2,6,1,3,4,2,1,2,1,16,8,2,57,13,2,1,16,1,1,6,5,5,1,1,6,1,1,3,

%T 1,1,2,9,18,1,8,15,2,2,1,2,1,2,1,5,2,3,5,1,3,4,17,11,1,2,1,6,1,2,3,15,

%U 3,12,1,8,6,1,1,1,2,4,29,44,1,1,7,1,1,1,2,1,1,1,1,1,2,22,1,2,5,8,2,2,5,2

%N Continued fraction for 8th Du Bois Reymond constant.

%t ContinuedFraction[FullSimplify[TrigToExp[ -3 - 2Residue[x^2/((Tan[x] - x) (1 + x^2)^4), {x, I}]]], 100] (* _Artur Jasinski_ *)

%o (PARI) contfrac((3*exp(8) - 24*exp(6) + 36*exp(4) - 8*exp(2) - 1167)/384) \\ _Michel Marcus_, Sep 09 2013

%Y Cf. A062545, A062546, A085466, A085467, A138729, A138730, A138731, A138732, A138733.

%K nonn,cofr

%O 1,2

%A _Artur Jasinski_, Mar 26 2008