|
%I #5 Mar 31 2012 12:35:56
%S 32,88,88,242,204,242,748,491,491,748,2312,1347,1052,1347,2312,7684,
%T 3781,2597,2597,3781,7684,25538,11541,6650,5802,6650,11541,25538,
%U 89044,35771,18701,13603,13603,18701,35771,89044,310472,117321,53948,35256,29432
%N T(n,k)=1/8 the number of (n+1)X(k+1) 0..3 arrays with all 2X2 subblock sums the same
%C Table starts
%C ......32......88.....242.....748....2312....7684...25538...89044..310472
%C ......88.....204.....491....1347....3781...11541...35771..117321..389053
%C .....242.....491....1052....2597....6650...18701...53948..165929..520322
%C .....748....1347....2597....5802...13603...35256...94469..271176..798403
%C ....2312....3781....6650...13603...29432...70867..177386..477919.1325792
%C ....7684...11541...18701...35256...70867..159318..374381..950430.2493379
%C ...25538...35771...53948...94469..177386..374381..829724.1994441.4970738
%C ...89044..117321..165929..271176..477919..950430.1994441.4552710
%C ..310472..389053..520322..798403.1325792.2493379.4970738
%C .1119748.1343649.1709981.2473212.3881491.6918426
%H R. H. Hardin, <a href="/A184029/b184029.txt">Table of n, a(n) for n = 1..127</a>
%F Empirical, for every row and column: a(n)=8*a(n-1)+16*a(n-2)-268*a(n-3)+189*a(n-4)+3388*a(n-5)-5824*a(n-6)-20048*a(n-7)+49756*a(n-8)+52752*a(n-9)-196896*a(n-10)-24192*a(n-11)+369216*a(n-12)-131328*a(n-13)-262656*a(n-14)+165888*a(n-15)
%e Some solutions for 5X4
%e ..1..3..0..3....1..2..1..3....0..3..0..2....2..2..1..1....1..2..2..2
%e ..0..3..1..3....2..1..2..0....3..0..3..1....1..1..2..2....2..2..1..2
%e ..3..1..2..1....2..1..2..2....2..1..2..0....2..2..1..1....2..1..3..1
%e ..2..1..3..1....0..3..0..2....1..2..1..3....0..2..1..3....1..3..0..3
%e ..1..3..0..3....1..2..1..3....0..3..0..2....3..1..2..0....0..3..1..3
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 08 2011
| 