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A252142 Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7 1

%I

%S 3026,2543,3073,3797,5511,7997,11573,16734,25572,37796,57507,85674,

%T 130391,193869,301261,451687,701066,1062950,1657016,2508639,3954332,

%U 6021763,9489231,14573849,23053799,35426048,56393822,87032798,138567723

%N Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7

%C Column 2 of A252148

%H R. H. Hardin, <a href="/A252142/b252142.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +8*a(n-3) -6*a(n-4) -10*a(n-5) -14*a(n-6) -3*a(n-7) +34*a(n-8) -48*a(n-9) +79*a(n-10) -32*a(n-11) +202*a(n-12) -100*a(n-13) -56*a(n-14) -119*a(n-15) -245*a(n-16) +124*a(n-17) -505*a(n-18) +434*a(n-19) -87*a(n-20) +795*a(n-21) +395*a(n-22) +128*a(n-23) +294*a(n-24) -740*a(n-25) -7*a(n-26) -1167*a(n-27) -505*a(n-28) -466*a(n-29) +93*a(n-30) +751*a(n-31) +373*a(n-32) +754*a(n-33) +315*a(n-34) +265*a(n-35) -70*a(n-36) -377*a(n-37) -310*a(n-38) -267*a(n-39) -27*a(n-40) +4*a(n-41) +15*a(n-43) +43*a(n-44) +47*a(n-45) -10*a(n-47) +a(n-48) +19*a(n-49) +9*a(n-50) -3*a(n-51) -6*a(n-52) -3*a(n-53) for n>60

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2014

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Last modified May 23 03:15 EDT 2022. Contains 353959 sequences. (Running on oeis4.)