A154001 Number of planar n X n X n binary triangular grids with mirror symmetry about one altitude with no more than 13 ones in any 5 X 5 X 5 subtriangle.

1, 2, 4, 16, 64, 508, 4054, 64383, 1024957, 32457661, 1032121857, 65351102113, 4153964152453, 525755086303623, 66797889955402370, 16898128960552112680, 4291148950249485286442, 2169726567052465643085463