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A252612 Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8 1

%I #4 Dec 19 2014 10:21:52

%S 6403,13879,58239,147592,814008,4274586,11003134,62184813,344281115,

%T 865035915,4979018733,28760743204,70988021803,414853576330,

%U 2472512442151,6024716842128,35595268483125,216826571010555,523674511193047

%N Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8

%C Column 5 of A252615

%H R. H. Hardin, <a href="/A252612/b252612.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 168*a(n-3) -8374*a(n-6) +137544*a(n-9) -1291860*a(n-12) +8966234*a(n-15) -42372903*a(n-18) +111840252*a(n-21) -137350852*a(n-24) +63180592*a(n-27) -3100800*a(n-30) for n>38

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2014

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Last modified September 29 16:58 EDT 2023. Contains 365773 sequences. (Running on oeis4.)