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A252147 Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7 1

%I #4 Dec 14 2014 14:06:07

%S 44707,11573,21375,17166,44234,34320,108750,78781,254289,178690,

%T 631331,408458,1557034,972865,3894549,2351136,9859334,5724828,

%U 25112827,14226925,64213200,35652840,165276046,89908958,426691518,229088911,1104127770

%N Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7

%C Column 7 of A252148

%H R. H. Hardin, <a href="/A252147/b252147.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-2) +3*a(n-3) +a(n-4) -9*a(n-5) -2*a(n-6) -3*a(n-7) -6*a(n-8) +3*a(n-9) -8*a(n-10) +27*a(n-11) +3*a(n-12) +27*a(n-13) +2*a(n-14) -12*a(n-15) -33*a(n-17) +a(n-18) -27*a(n-19) +6*a(n-20) +9*a(n-21) +8*a(n-22) +15*a(n-23) -2*a(n-24) +3*a(n-25) -5*a(n-26) -3*a(n-27) -a(n-28) +a(n-30) for n>40

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2014

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Last modified April 24 09:42 EDT 2024. Contains 371935 sequences. (Running on oeis4.)