login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

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

%I #4 Dec 14 2014 20:43:16

%S 2581,1930,2264,9058,90638,1007913,13087197,433466577,10924924975,

%T 323391798040,35279164500443,1921851255032605,127953336003292258

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

%C Diagonal of A252167

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2014