Hello, the version of the ISC in australia is a copy of my inverter which has tables that were in Vancouver in 1998. I have this output from my local inverter with 14.083 billion entries including table expression ====================================== s001 sum(1/10^n*A091473[n],n=1..infinity) s001 sum(1/10^(n-1)*A091473[n],n=1..infinity) g010 Re[Beta[3/2,3/2]] m002 Pi/8 s001 sum(1/10^n*A019675[n],n=1..infinity) v024 Sum[1/(3+16*n^2-16*n),{n,1,Infinity}] w006 Weierstrass(1/2) w007 Real solution of -2+2*cos(x)^2+1/4/cos(x)^2 w012 Real solution of -1+2*cos(x)^2-2*sin(x)*cos(x) m004 (5*Pi)/4 s001 sum(1/10^(n-1)*A019675[n],n=1..infinity) by using the information of solutions of tables w007 and w012 I get : arctan(2*(1/2*(2+2^(1/2))^(3/2)-3/2*(2+2^(1/2))^(1/2))/(2+2^(1/2))^(1/2)) for Pi/8. the sequence A019675 is Pi/8 and the entry of A091473 is an approximation of Pi/8 related to that strange integral which is Pi/8 up to 42 digits, I use 32 digits validation on each case. The pismart algorithm returns approximately 1400 answers for that number alone that includes approximations like this one : -Pi^105*2^100*bernoulli(104)/104! which gives Pi/8 to 31 digits. Best regards, Simon Plouffe