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A252411 Number of (4+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 2 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 2 3 4 6 or 7 1

%I

%S 426,1224,3302,6231,21819,63428,122653,433272,1264088,2446973,8647751,

%T 25240256,48858289,172693010,504163906,975786403,3449387269,

%U 10072591598,19492346563,68913269330,201282072654,389463616027,1377074355675

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

%C Row 4 of A252407

%H R. H. Hardin, <a href="/A252411/b252411.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>41

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2014

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Last modified April 16 18:21 EDT 2021. Contains 343050 sequences. (Running on oeis4.)