# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a252345 Showing 1-1 of 1 %I A252345 #4 Dec 16 2014 20:43:31 %S A252345 562,798,1331,2176,4013,7109,12670,23051,42677,76847,144622,269725, %T A252345 498250,941982,1789811,3325857,6370800,12178628,22845814,43963436, %U A252345 84669873,159459251,308410785,596046949,1127115248,2185125529,4236058398 %N A252345 Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 8 %C A252345 Column 1 of A252352 %H A252345 R. H. Hardin, Table of n, a(n) for n = 1..210 %F A252345 Empirical: a(n) = -a(n-1) +3*a(n-2) +24*a(n-3) +20*a(n-4) -59*a(n-5) -225*a(n-6) -152*a(n-7) +423*a(n-8) +1045*a(n-9) +574*a(n-10) -1357*a(n-11) -2485*a(n-12) -1178*a(n-13) +1910*a(n-14) +2505*a(n-15) +911*a(n-16) -567*a(n-17) +830*a(n-18) +1299*a(n-19) -1040*a(n-20) -4171*a(n-21) -3547*a(n-22) +415*a(n-23) +3286*a(n-24) +2940*a(n-25) +642*a(n-26) -731*a(n-27) -919*a(n-28) -403*a(n-29) -91*a(n-30) +53*a(n-31) +33*a(n-32) +14*a(n-33) for n>39 %e A252345 Some solutions for n=4 %e A252345 ..3..3..3....3..1..0....1..1..0....1..1..2....3..0..1....3..3..1....3..0..1 %e A252345 ..2..3..2....2..3..2....0..3..1....0..3..1....2..2..3....2..2..0....3..1..0 %e A252345 ..2..3..2....2..3..2....3..3..1....3..3..1....2..2..3....2..2..3....3..0..1 %e A252345 ..0..1..3....0..1..3....1..1..2....1..1..0....3..0..1....3..3..1....3..1..0 %e A252345 ..2..3..2....2..3..2....3..3..1....3..3..1....2..2..3....2..2..3....1..0..1 %e A252345 ..2..3..2....2..3..2....0..0..1....0..0..1....2..0..0....2..2..3....0..1..3 %K A252345 nonn %O A252345 1,1 %A A252345 _R. H. Hardin_, Dec 16 2014 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE