|
%I #4 Jan 30 2014 07:26:33
%S 833,7377,68839,810039,9665961,119169209,1475983975,18374935939,
%T 229046649189,2857763330357,35666812500699,445227947712783,
%U 5558171962593453,69390210334264145,866306434183488675
%N Number of (n+1)X(3+1) 0..2 arrays with the upper median plus the lower median of every 2X2 subblock equal
%C Column 3 of A236746
%H R. H. Hardin, <a href="/A236741/b236741.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 29*a(n-1) -236*a(n-2) -530*a(n-3) +16058*a(n-4) -44099*a(n-5) -359428*a(n-6) +2037666*a(n-7) +2641959*a(n-8) -38207537*a(n-9) +26566108*a(n-10) +394980672*a(n-11) -749280468*a(n-12) -2366139159*a(n-13) +7499380996*a(n-14) +7313304008*a(n-15) -43398468452*a(n-16) -1170978370*a(n-17) +160201297848*a(n-18) -83692886880*a(n-19) -390363727264*a(n-20) +354528700808*a(n-21) +637126357152*a(n-22) -786883396000*a(n-23) -700593013632*a(n-24) +1098115601088*a(n-25) +520503186176*a(n-26) -1014936927488*a(n-27) -264788255744*a(n-28) +628983984128*a(n-29) +97800536064*a(n-30) -257790742528*a(n-31) -29839360000*a(n-32) +66734374912*a(n-33) +7884767232*a(n-34) -9802874880*a(n-35) -1429733376*a(n-36) +613416960*a(n-37) +113246208*a(n-38)
%e Some solutions for n=3
%e ..0..2..1..1....2..0..1..0....0..1..0..1....2..0..1..0....2..0..2..1
%e ..1..1..0..1....1..1..1..1....1..2..1..1....1..1..1..1....1..1..1..1
%e ..1..2..1..2....1..0..1..0....1..0..1..2....1..1..1..2....2..1..2..0
%e ..1..0..1..1....2..1..1..2....1..2..1..0....1..2..1..0....1..0..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 30 2014
| 