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A251169 Number of (n+1)X(2+1) 0..3 arrays with no 2X2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements 1

%I

%S 1192,28598,710438,17822017,447045247,11217458242,281464393752,

%T 7062524479907,177212908806834,4446631711500476,111574998800049608,

%U 2799642934653229861,70248716607229845853,1762682712241272381344

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

%C Column 2 of A251175

%H R. H. Hardin, <a href="/A251169/b251169.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 18*a(n-1) +207*a(n-2) -467*a(n-3) -6600*a(n-4) -1875*a(n-5) +63326*a(n-6) +73820*a(n-7) -229957*a(n-8) -336653*a(n-9) +261015*a(n-10) +44686*a(n-11) -128915*a(n-12) +2430445*a(n-13) +2129961*a(n-14) -3221584*a(n-15) -3772828*a(n-16) -1458815*a(n-17) -1624091*a(n-18) +1337778*a(n-19) -594676*a(n-20) -2421161*a(n-21) +4990735*a(n-22) +3825613*a(n-23) -2837931*a(n-24) -1064416*a(n-25) +460189*a(n-26) -570147*a(n-27) -263513*a(n-28) +428467*a(n-29) +62098*a(n-30) -84117*a(n-31) +2517*a(n-32) +12555*a(n-33) -1695*a(n-34) -1864*a(n-35) +80*a(n-36) +142*a(n-37) -a(n-38) -2*a(n-39)

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 30 2014

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Last modified August 8 12:30 EDT 2022. Contains 356009 sequences. (Running on oeis4.)