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A252049 Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum not 1 3 6 or 8 and every diagonal and antidiagonal sum 1 3 6 or 8 1

%I

%S 3494,3030,4390,6562,16536,29180,45444,113456,205932,339128,861746,

%T 1594530,2738540,6782898,13250354,23666832,57515860,113323640,

%U 216311042,510417296,1031791182,1997922262,4755406774,9626094216,19356957970

%N Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum not 1 3 6 or 8 and every diagonal and antidiagonal sum 1 3 6 or 8

%C Column 4 of A252053

%H R. H. Hardin, <a href="/A252049/b252049.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-2) +21*a(n-3) +22*a(n-4) -63*a(n-5) -193*a(n-6) -462*a(n-7) +306*a(n-8) +1288*a(n-9) +3442*a(n-10) +1869*a(n-11) -6238*a(n-12) -11452*a(n-13) -21686*a(n-14) +10156*a(n-15) +22448*a(n-16) +63087*a(n-17) +39044*a(n-18) -35944*a(n-19) -50726*a(n-20) -137608*a(n-21) -32238*a(n-22) +7517*a(n-23) +66843*a(n-24) +170838*a(n-25) +63175*a(n-26) +109549*a(n-27) -89146*a(n-28) -194530*a(n-29) -136487*a(n-30) -117036*a(n-31) +145160*a(n-32) +141098*a(n-33) +103496*a(n-34) -6560*a(n-35) -97504*a(n-36) -17744*a(n-37) -8576*a(n-38) +6256*a(n-39) +4288*a(n-40) +1024*a(n-41) +4288*a(n-42) -512*a(n-43) -512*a(n-45) for n>50

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 13 2014

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Last modified October 25 22:20 EDT 2021. Contains 348256 sequences. (Running on oeis4.)