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A252125 Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 3 4 6 or 7 1

%I

%S 1214,5622,25017,44895,263585,1322632,2216594,14725300,78319500,

%T 126119849,891349127,4860491003,7690347441,55811257617,307377614835,

%U 482854484302,3541783303240,19581698268041,30673268236425

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

%C Column 3 of A252130

%H R. H. Hardin, <a href="/A252125/b252125.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +140*a(n-3) -140*a(n-4) -6911*a(n-6) +6911*a(n-7) +152837*a(n-9) -152837*a(n-10) -1442504*a(n-12) +1442504*a(n-13) +2343083*a(n-15) -2343083*a(n-16) +39334064*a(n-18) -39334064*a(n-19) -202724388*a(n-21) +202724388*a(n-22) +108881376*a(n-24) -108881376*a(n-25) +1256967648*a(n-27) -1256967648*a(n-28) -3002648832*a(n-30) +3002648832*a(n-31) +2388828672*a(n-33) -2388828672*a(n-34) -597196800*a(n-36) +597196800*a(n-37) for n>42

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2014

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Last modified May 22 16:07 EDT 2022. Contains 353957 sequences. (Running on oeis4.)