This is a simple number sequence puzzle, you are given 6 related number sequences, observe them, find the pattern; Your task is to give the first sixteen terms in the seventh sequence.
$$1d5, 2d3, 1d13, 1d21, 3d11, 1d57, 1d93, 19d7, 41d5, 1d397, 23d27, 1d1041, 281d5, 31d87, 1d4413, 1d7141$$
$$2d3, 1d9, 3d5, 7d3, 1d45, 1d73, 5d23, 1d193, 1d313, 127d3, 137d5, 19d69, 269d7, 1d3481, 313d17, 53d171$$
$$1d9, 3d3, 1d21, 1d33, 7d7, 5d17, 1d145, 59d3, 1d381, 103d5, 5d199, 1d1617, 17d153, 353d11, 149d45, 1109d9$$
$$1d13, 2d7, 5d5, 1d45, 19d3, 1d121, 11d17, 5d63, 37d13, 1d837, 113d11, 1d2193, 71d49, 359d15, 1549d5, 103d145$$
$$5d3, 1d21, 7d5, 2d31, 1d105, 17d9, 23d11, 1d445, 19d37, 73d15, 7d269, 139d21, 1237d3, 1d8005, 127d101, 131d159$$
$$5d5, 2d15, 1d61, 1d93, 13d11, 5d49, 29d13, 41d15, 59d17, 1d1717, 139d19, 173d25, 1213d5, 23d511, 1361d13, 3083d9$$
The numbers are expressed as dice averages. The accepted answer is expected to express the sequence in dice averages in the same format as the sequences above.