A186597 - OEIS

%I #7 Aug 23 2022 15:17:46

%S 71095231,1126074,1889853,5711805,12563805,17002221,17395749,17856813,

%T 20158773,23363757,27162237,33026037,58823757,91003557,125475693,

%U 167526981,305320872,471875955,656703486,881859873,1471637229,2244237561

%N Number of (n+3) X 10 0..3 arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.

%C Column 7 of A186599.

%H R. H. Hardin, <a href="/A186597/b186597.txt">Table of n, a(n) for n = 1..38</a>

%F Empirical: a(n)=2*a(n-1)-a(n-2)+3*a(n-4)-6*a(n-5)+3*a(n-6)+3*a(n-8)-3*a(n-9) for n>17.

%e Some solutions for 5 X 10

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

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

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

%e ..2..0..0..0..0..0..0..0..0..2....0..0..0..0..0..0..0..0..0..0

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

%Y Cf. A186599.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 24 2011