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A153957
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Number of planar n X n X n binary triangular grids with mirror symmetry about one altitude with no more than 7 ones in any 5 X 5 X 5 subtriangle.
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0
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1, 2, 4, 16, 56, 256, 1518, 15896, 171565, 3217779, 58858443, 1927799742, 63170771231, 3671078892600, 213376157401433, 21677971544137049
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