login
Number of (n+1) X (5+1) 0..2 arrays with the maximum of every 2 X 2 subblock equal.
1

%I #7 Nov 12 2014 21:10:53

%S 225731,93224611,34552648978,13403891066319,5114994760537075,

%T 1964124791456164266,752460086062505325739,288520409604104379625859,

%U 110593066864108799679962914,42396728137403307046581314455

%N Number of (n+1) X (5+1) 0..2 arrays with the maximum of every 2 X 2 subblock equal.

%C Column 5 of A237035.

%H R. H. Hardin, <a href="/A237032/b237032.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 239*a(n-1) +68893*a(n-2) -3662412*a(n-3) -687308133*a(n-4) +34037698933*a(n-5) +1708507881498*a(n-6) -92484388661103*a(n-7) -1035324071395221*a(n-8) +65859399371514100*a(n-9) +419538138168849781*a(n-10) -15416248415949894541*a(n-11) -95854598013494291697*a(n-12) +1056551768470881954384*a(n-13) +4194533173372967579360*a(n-14) -36404027727720292273920*a(n-15) -18250939243060664183040*a(n-16) +465027089550957918842880*a(n-17) -830339708989308767846400*a(n-18) +26271035870258095718400*a(n-19) +791433293544015003648000*a(n-20) -268111354279860633600000*a(n-21) -168154961622356459520000*a(n-22) +33389274530190458880000*a(n-23).

%e Some solutions for n=1:

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

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

%Y Cf. A237035.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 02 2014