A252265 - OEIS

%I #6 Jun 02 2025 10:59:35

%S 598,2290,10302,44612,188690,800946,3410622,14539062,61939050,

%T 263654268,1122558622,4780929292,20360099218,86698049792,369189620402,

%U 1572170465338,6694947958226,28509673198118,121405330624712

%N Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 4 6 or 7.

%C Column 4 of A252269

%H R. H. Hardin, <a href="/A252265/b252265.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +6*a(n-2) +20*a(n-3) +54*a(n-4) +38*a(n-5) -41*a(n-6) -191*a(n-7) -285*a(n-8) +296*a(n-9) +753*a(n-10) -160*a(n-11) -791*a(n-12) -99*a(n-13) +334*a(n-14) +98*a(n-15) -18*a(n-16) +54*a(n-17) -3*a(n-18) -35*a(n-19) +3*a(n-20) -12*a(n-21) -7*a(n-22) +4*a(n-23) for n>25

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 16 2014