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%I #11 Jan 20 2024 14:01:36
%S 207,551,551,1467,3167,1467,4245,10397,10397,4245,12241,59377,53311,
%T 59377,12241,36285,219871,337179,337179,219871,36285,107397,1174669,
%U 1912223,4256141,1912223,1174669,107397,321317,4655229,11644559,27234451
%N T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with the permanents of all 2 X 2 subblocks equal and nonzero.
%C Table starts
%C ....207......551......1467........4245........12241..........36285
%C ....551.....3167.....10397.......59377.......219871........1174669
%C ...1467....10397.....53311......337179......1912223.......11644559
%C ...4245....59377....337179.....4256141.....27234451......320519921
%C ..12241...219871...1912223....27234451....282748327.....3677014705
%C ..36285..1174669..11644559...320519921...3677014705....94493071327
%C .107397..4655229..67916249..2202663919..41067117035..1170722541163
%C .321317.23670949.409180861.24594710265.514372854783.28674816027923
%H R. H. Hardin, <a href="/A204876/b204876.txt">Table of n, a(n) for n = 1..180</a>
%e Some solutions for n=4, k=3
%e ..3..0..3..3....3..3..3..2....2..2..1..2....0..1..2..0....1..2..0..2
%e ..0..1..0..1....3..0..3..1....3..0..3..0....2..0..2..1....0..2..1..2
%e ..3..3..3..0....2..3..3..2....3..2..0..2....0..1..2..0....1..2..0..2
%e ..0..1..0..1....1..3..0..3....0..2..3..2....2..1..0..1....0..2..1..3
%e ..3..1..3..2....2..3..3..3....3..2..0..2....0..1..2..2....1..2..0..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 20 2012