A138731 - OEIS

%I #5 May 13 2013 01:48:48

%S 0,4531,1,1,3,1,8,3,2,1,3,1,1,9,1,2,9,1,1,5,3,2,1,1,5,1,1,3,5,3,2,1,6,

%T 1,7,2,4,1,3,1,23,2,8,2,1,19,1,23,1,3,1,18,1,2,1,1,3,24,1,4,1,1,5,1,1,

%U 2,1,1,89,1,1,1,2,1,8,1,52,1,1,1,1,1,4,1,15,1,1,1,5,3,1,2,1,4,1,4,24,5,1,5

%N Continued fraction for 6th Du Bois Reymond constant.

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

%o (PARI) contfrac((exp(6)-6*exp(4)+3*exp(2)-98)/32) \\ _Charles R Greathouse IV_, Feb 24 2012

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

%K nonn,cofr

%O 1,2

%A _Artur Jasinski_, Mar 26 2008