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A252437 Number of (4+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7 1

%I #4 Dec 17 2014 10:57:44

%S 878,1801,3954,7575,26396,74892,151863,530739,1491580,3021857,

%T 10585353,29761784,60370995,211427247,593997328,1205792009,4223479870,

%U 11857758532,24089996163,84387563433,236761731724,481383227645,1686474375006

%N Number of (4+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7

%C Row 4 of A252433

%H R. H. Hardin, <a href="/A252437/b252437.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 41*a(n-3) -427*a(n-6) -92*a(n-9) +4948*a(n-12) -4734*a(n-15) -16460*a(n-18) +22444*a(n-21) +22257*a(n-24) -37919*a(n-27) -8433*a(n-30) +18472*a(n-33) +420*a(n-36) -516*a(n-39) for n>46

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2014

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Last modified February 26 07:39 EST 2024. Contains 370335 sequences. (Running on oeis4.)