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A252613 Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8 1

%I

%S 12421,31514,156499,433665,3108884,18149682,51303874,373181073,

%T 2202127052,6156657609,45414463138,270053121307,748380393975,

%U 5583776785833,33392302867052,91876589978091,691683392542601

%N Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8

%C Column 6 of A252615

%H R. H. Hardin, <a href="/A252613/b252613.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 247*a(n-3) -18229*a(n-6) +435125*a(n-9) -7886972*a(n-12) +105746826*a(n-15) -1010854357*a(n-18) +7651594613*a(n-21) -40888259393*a(n-24) +109594096265*a(n-27) -30541894616*a(n-30) -425407491332*a(n-33) +663520650848*a(n-36) +46176021456*a(n-39) -707642790080*a(n-42) +421397209600*a(n-45) -42946560000*a(n-48) for n>57

%e Some solutions for n=3

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

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

%e ..1..2..2..1..2..2..1..2....2..1..2..2..1..2..2..1....1..2..2..1..2..2..1..2

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2014

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Last modified March 28 17:47 EDT 2023. Contains 361596 sequences. (Running on oeis4.)