A237083 - OEIS

%I #5 Feb 03 2014 05:44:14

%S 256,912,3274,12590,48864,194812,782024,3181960,13011114,53658914,

%T 222083940,924917700,3861987068,16205498580,68129054026,287586729590,

%U 1215649311224,5156290702428,21893593896096,93233390148624

%N Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal

%C Column 1 of A237090

%H R. H. Hardin, <a href="/A237083/b237083.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) +60*a(n-2) -862*a(n-3) -1086*a(n-4) +33540*a(n-5) -9979*a(n-6) -783892*a(n-7) +824284*a(n-8) +12345350*a(n-9) -18192256*a(n-10) -139180992*a(n-11) +238967360*a(n-12) +1163655888*a(n-13) -2146002000*a(n-14) -7367091744*a(n-15) +13887606400*a(n-16) +35709999776*a(n-17) -66295608704*a(n-18) -132969450624*a(n-19) +235472001792*a(n-20) +379020082688*a(n-21) -621655478784*a(n-22) -818785156096*a(n-23) +1209529808896*a(n-24) +1318846520320*a(n-25) -1708239130624*a(n-26) -1549680926720*a(n-27) +1713440202752*a(n-28) +1294797701120*a(n-29) -1184941342720*a(n-30) -748816367616*a(n-31) +542383144960*a(n-32) +290968829952*a(n-33) -154773487616*a(n-34) -72499593216*a(n-35) +24714936320*a(n-36) +10489954304*a(n-37) -1677721600*a(n-38) -671088640*a(n-39)

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 03 2014