sillaroja

with_bigfloat_precision(500) do BigInt(1)/BigInt(9998) end

maxima code follows

fpprintprec:100; fpprec:100; s : string(bfloat(1)/bfloat(9998)); makelist(substring(s,3+4i,7+4i),i,0,15); [0002, 0004, 0008, 0016, 0032, 0064, 0128, 0256, 0512, 1024, 2048,4096, 8193,broken pattern,6387, 2774, 5549]