#The  list below consists of the first 30 terms of the sequence enumerating 6 by 2n 0-1 balanced matrices
#avoiding the patterms 010 and 101 both in rows and colums *it is not yet (Sept. 2024) in the OEIS)

L:=[8, 64, 368, 2776, 25880, 251704, 2629080, 28964248, 331032312, 3907675376, 
47392320240, 587548108400, 7421689479608, 95248568409312, 1239031994818680, 
16306127772957216, 216760982171930144, 2906731043068293952, 
39278080769921432856, 534346120254755625336, 7312907424570010667248, 
100617168758718590691008, 1391010806098829548194904, 19313535594682146548460528
, 269209923705508842284676904, 3765886492662164678445053416, 
52851694610761401821852209616, 743962982623636240768303150120, 
10501311671694580295922263260952, 148609448060243565827017350779120]:


#                         This took, 16015.402, seconds