A251436 - OEIS

%I #4 Dec 02 2014 17:52:37

%S 2312,86930,3204536,119053429,4414109389,163787201307,6076163446285,

%T 225429873974601,8363437970580899,310285417014267345,

%U 11511635639670577045,427083714364654295407,15844878120109593693530

%N Number of (n+1)X(2+1) 0..3 arrays with no 2X2 subblock having the minimum of its diagonal elements greater than the absolute difference of its antidiagonal elements

%C Column 2 of A251442

%H R. H. Hardin, <a href="/A251436/b251436.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 33*a(n-1) +308*a(n-2) -5263*a(n-3) -23793*a(n-4) +157098*a(n-5) +420584*a(n-6) -2479492*a(n-7) -2574121*a(n-8) +21587218*a(n-9) -3368224*a(n-10) -104469857*a(n-11) +129885048*a(n-12) +307331882*a(n-13) -895875261*a(n-14) -439404435*a(n-15) +3353232807*a(n-16) +686356358*a(n-17) -9012076089*a(n-18) +49395448*a(n-19) +13111871785*a(n-20) -4036063357*a(n-21) -13266835449*a(n-22) +10126776989*a(n-23) +7142761163*a(n-24) -9749966496*a(n-25) -382270603*a(n-26) +4128120218*a(n-27) -1095849774*a(n-28) -468724137*a(n-29) +567341717*a(n-30) -96726934*a(n-31) -135224902*a(n-32) +8739146*a(n-33) +7609442*a(n-34) +1079294*a(n-35) +90286*a(n-36) -54189*a(n-37) +39728*a(n-38) +3867*a(n-39) +773*a(n-40) -130*a(n-41)

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 02 2014