A235579 - OEIS

%I #5 Jan 12 2014 08:46:21

%S 256,2896,29902,283672,2573798,22515040,192101098,1606970816,

%T 13241328464,107791850352,868939726164,6948437293776,55190272360908,

%U 435883708681040,3425905431290298,26814545618470232,209120413244975698

%N Number of (n+1)X(1+1) 0..3 arrays with the difference of the upper median and minimum value of each 2X2 subblock in lexicographically nondecreasing order rowwise and columnwise

%C Column 1 of A235582

%H R. H. Hardin, <a href="/A235579/b235579.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -1088*a(n-3) +2822*a(n-4) +32220*a(n-5) -115405*a(n-6) -550832*a(n-7) +2287907*a(n-8) +6094288*a(n-9) -27451466*a(n-10) -46518640*a(n-11) +215602416*a(n-12) +255565900*a(n-13) -1144084105*a(n-14) -1037102496*a(n-15) +4127924328*a(n-16) +3118730008*a(n-17) -9990319584*a(n-18) -6756169120*a(n-19) +15678479104*a(n-20) +9914486656*a(n-21) -15072576768*a(n-22) -9022539264*a(n-23) +8159504384*a(n-24) +4603113472*a(n-25) -2141929472*a(n-26) -1129512960*a(n-27) +192675840*a(n-28) +94371840*a(n-29)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 12 2014