A252639 - OEIS

%I #4 Dec 19 2014 11:33:19

%S 24852,121016,840655,4416767,39238223,285228944,1669555189,

%T 14996577319,109620130066,681798971770,6159929224645,45152154535750,

%U 290188781235147,2628584711207738,19284849512611080,125910015909639810

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

%C Column 7 of A252640

%H R. H. Hardin, <a href="/A252639/b252639.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 862*a(n-3) -238268*a(n-6) +25139455*a(n-9) -911057861*a(n-12) +25632934408*a(n-15) -499013203498*a(n-18) +5337162838167*a(n-21) -28636428266484*a(n-24) +71387949771492*a(n-27) -85626944732736*a(n-30) +75132667425024*a(n-33) -49596434721792*a(n-36) +9613070917632*a(n-39) for n>50

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2014