A251978 - OEIS

%I #4 Dec 12 2014 07:20:28

%S 41682,516108,4379034,26230040,196459816,1645790820,13277304274,

%T 103969785600,818715734694,6500654740228,51596730375356,

%U 408712971161574,3237078260833534,25650449408415052,203271994945959992

%N Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum not 0 1 2 7 8 or 9 and every diagonal and antidiagonal sum 0 1 2 7 8 or 9

%C Column 3 of A251983

%H R. H. Hardin, <a href="/A251978/b251978.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) -58*a(n-2) +183*a(n-3) -282*a(n-4) -748*a(n-5) +3248*a(n-6) -5332*a(n-7) +10416*a(n-8) -35623*a(n-9) -13556*a(n-10) +93393*a(n-11) +162756*a(n-12) -7293*a(n-13) -110282*a(n-14) -1253650*a(n-15) +981271*a(n-16) -129815*a(n-17) +3449349*a(n-18) -5138523*a(n-19) +2737961*a(n-20) -12024983*a(n-21) +18181720*a(n-22) -16569588*a(n-23) +35870132*a(n-24) -41547276*a(n-25) +35883987*a(n-26) -40690935*a(n-27) +33997016*a(n-28) -23611171*a(n-29) +15754277*a(n-30) -13463427*a(n-31) +14686344*a(n-32) -24430037*a(n-33) +35528759*a(n-34) -41290795*a(n-35) +50974775*a(n-36) -52828648*a(n-37) +46639137*a(n-38) -39396042*a(n-39) +29490546*a(n-40) -19546499*a(n-41) +11451226*a(n-42) -4715413*a(n-43) +784934*a(n-44) +405439*a(n-45) -494432*a(n-46) +384535*a(n-47) -217676*a(n-48) +26201*a(n-49) +42601*a(n-50) -23414*a(n-51) +8724*a(n-52) -4380*a(n-53) +976*a(n-54) -68*a(n-55) +28*a(n-56) for n>60

%e Some solutions for n=1

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 12 2014