Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #4 Feb 13 2015 07:43:40
%S 269,1121,5077,21854,92217,391926,1669286,7114859,30309034,129016023,
%T 549319029,2339546992,9963141837,42425232242,180661430018,
%U 769335984165,3276146397830,13951092432171,59409215103985,252988054381890
%N Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 or 1 and no column sum 0 or 1
%C Column 4 of A255027
%H R. H. Hardin, <a href="/A255023/b255023.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 ..1..1..1..0..1..1....0..1..1..1..0..1....1..0..1..1..1..1....1..0..1..1..1..1
%e ..1..0..1..1..1..0....1..1..0..1..1..1....1..1..1..1..1..0....1..1..1..0..1..1
%e ..1..1..1..1..1..1....1..1..1..1..1..0....1..1..0..1..1..1....1..1..1..1..1..1
%e ..1..1..1..1..1..1....1..1..1..1..1..1....0..1..1..1..1..1....1..1..1..1..1..1
%e ..0..1..1..1..1..0....0..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..0
%e ..1..1..1..0..1..1....1..1..0..1..1..0....1..1..1..1..0..1....0..1..1..0..1..1
%Y Cf. A255027
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 13 2015