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A251887 Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 3 6 or 7 and every diagonal and antidiagonal sum 2 3 6 or 7 1

%I #4 Dec 10 2014 10:28:20

%S 1280,1664,1280,1280,1534,1752,2146,2838,3446,4406,5830,7266,9446,

%T 12606,15958,20914,27986,35746,47062,62958,80926,106810,142678,184318,

%U 243594,324870,421406,557302,742186,966026,1277974,1699954,2219006,2936010

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

%C Column 1 of A251894

%H R. H. Hardin, <a href="/A251887/b251887.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-3) +a(n-5) -8*a(n-6) -4*a(n-8) +4*a(n-9) +5*a(n-11) -2*a(n-14) for n>22

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 10 2014

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Last modified September 13 03:33 EDT 2024. Contains 375857 sequences. (Running on oeis4.)