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A252620 Number of (5+2)X(n+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 3022,14435,51614,174803,814008,3108884,11582748,52469568,201993618,

%T 768890808,3480326680,13459054930,51485158178,233492157392,

%U 905050919616,3466946078122,15745563038156,61098284521678,234159920022142

%N Number of (5+2)X(n+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 Row 5 of A252615

%H R. H. Hardin, <a href="/A252620/b252620.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 153*a(n-3) -8712*a(n-6) +255212*a(n-9) -4508492*a(n-12) +53093559*a(n-15) -446651987*a(n-18) +2811069562*a(n-21) -13591870478*a(n-24) +51098703404*a(n-27) -149793570874*a(n-30) +341702575498*a(n-33) -604381946186*a(n-36) +825959886406*a(n-39) -869742332060*a(n-42) +704603552412*a(n-45) -438817036584*a(n-48) +209303150240*a(n-51) -75464022512*a(n-54) +20062951584*a(n-57) -3814166304*a(n-60) +501537088*a(n-63) -42523840*a(n-66) +1893632*a(n-69) -30720*a(n-72) for n>75

%e Some solutions for n=4

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2014

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Last modified March 4 01:42 EST 2021. Contains 341773 sequences. (Running on oeis4.)