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A251899 Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5 1

%I #4 Dec 10 2014 16:42:09

%S 2596,1548,1586,1962,3910,6744,9830,18590,34826,59814,108694,195918,

%T 357988,675680,1219152,2210766,4192704,7776562,14201302,26491586,

%U 49495812,91788030,170653566,317356866,591342258,1103205622,2051539582

%N Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5

%C Column 2 of A251905

%H R. H. Hardin, <a href="/A251899/b251899.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +4*a(n-3) +5*a(n-4) -14*a(n-5) -2*a(n-6) -44*a(n-7) +36*a(n-8) +5*a(n-9) +64*a(n-10) +17*a(n-11) -28*a(n-12) -22*a(n-13) -76*a(n-14) +8*a(n-15) +4*a(n-16) +14*a(n-17) +38*a(n-18) +6*a(n-20) -12*a(n-21) -8*a(n-22) +8*a(n-23) -12*a(n-24) +8*a(n-26) for n>33

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 10 2014

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Last modified April 25 12:33 EDT 2024. Contains 371969 sequences. (Running on oeis4.)