Python 2, 273 bytes, cracked
Initial Sequence: A004444A004442
import zlib, base64;exec(zlib.decompress(base64.b64decode('eJzLtDUAAAHoANc=')))
while True:print eval(zlib.decompress(base64.b64decode('eJwzAgAAMwAz')))^eval(zlib.decompress(base64.b64decode('eJwzjssEAAHBAPs='))),;exec(zlib.decompress(base64.b64decode('eJzL1LY1BAAC1AED')))