s = []; see(z) = { my (n=numerator(z), d=denominator(z)); if (n > #s, s = concat(s, vector(n-#s)); ); s[n] += 2^d; } seen(z) = { my (n=numerator(z), d=denominator(z)); if (n > #s, return (0), return (bit test(s[n], d)) ); } up(z) = (1+numerator(z))/ denominator(z) down(z) = numerator(z) /(1+denominator(z)) v = 1; val = vector(10 000); val[1] = 1; explore1(z) = { if (v < #val && !seen(z), v++; val[v] = z; see(z); ); } explore(z) = { explore1(up(z)); explore1(down(z)); } { see(val[1]); for (n=1, #val, print (n " " numerator(val[n])); explore(val[n]) ) } quit