|
%I #4 Dec 14 2014 07:12:05
%S 2458,4581,6549,10605,21457,38599,70372,150102,279508,526503,1137691,
%T 2133409,4041470,8722390,16378835,31115832,67038148,126047760,
%U 240095403,516489711,972298255,1856211222,3987809116,7515714093,14376285670
%N Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 4 6 or 7
%C Column 1 of A252105
%H R. H. Hardin, <a href="/A252098/b252098.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 36*a(n-3) +a(n-5) -540*a(n-6) +8*a(n-7) -34*a(n-8) +4398*a(n-9) -233*a(n-10) +485*a(n-11) -21408*a(n-12) +2707*a(n-13) -3812*a(n-14) +65682*a(n-15) -16279*a(n-16) +18410*a(n-17) -134408*a(n-18) +56514*a(n-19) -58705*a(n-20) +199317*a(n-21) -125944*a(n-22) +132720*a(n-23) -238833*a(n-24) +206353*a(n-25) -226854*a(n-26) +253298*a(n-27) -284370*a(n-28) +305042*a(n-29) -251621*a(n-30) +337823*a(n-31) -321041*a(n-32) +241053*a(n-33) -325948*a(n-34) +247489*a(n-35) -200856*a(n-36) +249742*a(n-37) -121389*a(n-38) +109021*a(n-39) -139543*a(n-40) +20857*a(n-41) -4056*a(n-42) +21627*a(n-43) +32853*a(n-44) -62301*a(n-45) +58942*a(n-46) -61998*a(n-47) +87185*a(n-48) -75869*a(n-49) +66167*a(n-50) -79696*a(n-51) +51897*a(n-52) -44744*a(n-53) +50420*a(n-54) -20239*a(n-55) +18061*a(n-56) -21046*a(n-57) +360*a(n-58) -2214*a(n-59) +4602*a(n-60) +3498*a(n-61) -1590*a(n-62) +474*a(n-63) -1974*a(n-64) +768*a(n-65) -432*a(n-66) +360*a(n-67) -120*a(n-68) +120*a(n-69) for n>77
%e Some solutions for n=4
%e ..3..2..1....0..0..0....3..0..3....2..0..2....3..0..1....0..3..3....2..1..1
%e ..3..3..1....2..0..2....1..2..1....2..3..2....0..3..0....1..2..1....1..3..3
%e ..1..1..2....2..3..2....3..1..0....3..1..0....1..0..3....3..1..0....1..3..3
%e ..3..0..1....3..1..0....3..1..3....2..3..2....2..1..1....3..1..3....2..1..1
%e ..0..3..1....2..3..2....1..2..1....2..3..2....1..3..0....0..2..1....1..3..3
%e ..1..3..2....2..3..2....0..1..3....0..0..0....1..2..3....3..0..0....1..2..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 14 2014
| 