cp's OEIS Frontend

A253164 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock sum differing from its neighbors horizontally, vertically and nw-se diagonally.

%I A253164 #6 Jul 23 2025 13:55:20
%S A253164 81,558,558,3844,5136,3844,26784,46752,46752,26784,186624,443362,
%T A253164 555842,443362,186624,1296000,4189216,7252320,7252320,4189216,1296000,
%U A253164 9000000,39478862,92998506,135741428,92998506,39478862,9000000,62568000
%N A253164 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock sum differing from its neighbors horizontally, vertically and nw-se diagonally.
%C A253164 Table starts
%C A253164 .........81.........558.........3844........26784........186624.......1296000
%C A253164 ........558........5136........46752.......443362.......4189216......39478862
%C A253164 .......3844.......46752.......555842......7252320......92998506....1190692584
%C A253164 ......26784......443362......7252320....135741428....2461955138...44789509812
%C A253164 .....186624.....4189216.....92998506...2461955138...62954425188.1612778665632
%C A253164 ....1296000....39478862...1190692584..44789509812.1612778665632
%C A253164 ....9000000...371551030..15179218714.808045500430
%C A253164 ...62568000..3500351616.194198939906
%C A253164 ..434972736.32968666098
%C A253164 .3022785216
%H A253164 R. H. Hardin, <a href="/A253164/b253164.txt">Table of n, a(n) for n = 1..60</a>
%F A253164 Empirical for column k:
%F A253164 k=1: a(n) = 3*a(n-1) +96*a(n-3) +504*a(n-4) +792*a(n-5) +2304*a(n-6) -13824*a(n-8) -13824*a(n-9)
%e A253164 Some solutions for n=2 k=4
%e A253164 ..0..2..1..2..2....0..0..0..1..1....0..0..1..1..2....0..0..1..0..0
%e A253164 ..0..2..2..0..0....0..1..2..2..0....1..2..1..2..1....0..2..1..1..1
%e A253164 ..1..0..1..1..0....2..0..2..0..0....1..0..2..1..0....1..2..2..2..1
%Y A253164 Column 1 is A185771
%K A253164 nonn,tabl
%O A253164 1,1
%A A253164 _R. H. Hardin_, Dec 28 2014