A187457 - OEIS

%I #6 Mar 31 2012 12:36:08

%S 16,81,264,256,5175,10776,625,38464,1293651,1011136,1296,187525,

%T 34166592,983320335,229028648,2401,628992,450657775,99952737952,

%U 2806943351103,121525356464,4096,1938979,3553508880,3764498129375,1694940245504992

%N T(n,k)=Number of (n+1)X(n+1) 0..k arrays with the array of 2X2 subblock determinants symmetric

%C Table starts

%C ........16............81..............256................625...........1296

%C .......264..........5175............38464.............187525.........628992

%C .....10776.......1293651.........34166592..........450657775.....3553508880

%C ...1011136.....983320335......99952737952......3764498129375.63480204115632

%C .229028648.2806943351103.1694940245504992.268361727217027575

%H R. H. Hardin, <a href="/A187457/b187457.txt">Table of n, a(n) for n = 1..40</a>

%e Some k=3 solutions for 4X4

%e ..0..0..0..1....0..0..0..0....0..0..0..3....0..0..0..1....0..0..0..1

%e ..2..0..0..0....1..0..0..0....1..0..0..0....1..0..0..0....2..0..0..3

%e ..0..0..2..3....0..0..1..3....0..0..0..2....0..0..0..2....0..0..0..3

%e ..3..0..1..1....2..0..2..1....1..0..1..2....1..2..2..1....2..2..2..2

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 10 2011