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%I #4 Dec 16 2014 17:30:42
%S 15269,5029,18820,97191,505062,2670867,14105723,74390225,393421805,
%T 2079994660,10983499803,58012069543,306545373892,1619740161782,
%U 8557028038444,45206323422740,238837210761031,1261858577288398
%N Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 1 3 6 or 7
%C Column 5 of A252321
%H R. H. Hardin, <a href="/A252318/b252318.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +3*a(n-2) +42*a(n-3) +223*a(n-4) +485*a(n-5) +723*a(n-6) -806*a(n-7) -5802*a(n-8) -7741*a(n-9) -2192*a(n-10) +15111*a(n-11) +38908*a(n-12) +12652*a(n-13) -51970*a(n-14) -63310*a(n-15) -10142*a(n-16) +76678*a(n-17) +114593*a(n-18) +55643*a(n-19) -41944*a(n-20) -125700*a(n-21) -123068*a(n-22) +13538*a(n-23) +65402*a(n-24) +12190*a(n-25) -45747*a(n-26) -141580*a(n-27) -54075*a(n-28) +19846*a(n-29) +79685*a(n-30) +127258*a(n-31) +23571*a(n-32) +8322*a(n-33) -10776*a(n-34) -19695*a(n-35) +32001*a(n-36) +2521*a(n-37) +6203*a(n-38) +7320*a(n-39) -17221*a(n-40) +14400*a(n-41) -11126*a(n-42) +9529*a(n-43) -5434*a(n-44) +2728*a(n-45) -1898*a(n-46) +781*a(n-47) -255*a(n-48) +156*a(n-49) -24*a(n-50) -11*a(n-51) +5*a(n-52) for n>57
%e Some solutions for n=4
%e ..2..3..3..3..3..2..3....3..2..3..3..3..3..3....3..2..3..3..3..2..3
%e ..3..3..3..2..3..3..3....2..3..3..3..2..3..3....3..3..3..3..3..3..3
%e ..3..2..3..3..3..3..2....3..3..3..3..3..3..2....3..3..3..3..3..3..2
%e ..3..3..3..3..2..3..3....3..3..3..2..3..3..3....3..3..3..3..2..3..3
%e ..2..3..3..3..3..3..3....2..3..3..3..3..3..3....3..3..3..3..3..3..3
%e ..3..3..3..3..3..2..3....3..3..2..3..3..3..2....3..3..3..2..3..3..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 16 2014
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