A252377 - OEIS

A252377

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 7

578, 540, 588, 651, 785, 904, 1051, 1290, 1543, 1902, 2392, 2959, 3827, 4965, 6347, 8484, 11355, 14882, 20270, 27738, 36892, 50720, 70283, 94180, 130033, 181321, 243827, 337271, 471676, 635273, 879421, 1231489, 1659757, 2298382, 3220359

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 1 of A252384

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 5*a(n-3) -8*a(n-6) +5*a(n-9) -a(n-12) for n>22

EXAMPLE

Some solutions for n=4

..3..0..0....3..1..2....1..3..2....0..1..2....3..0..3....0..2..1....0..3..0

..3..1..3....3..0..0....3..0..0....2..0..3....2..3..0....0..0..0....1..3..2

..3..3..1....2..1..0....0..1..2....2..1..3....3..1..1....1..2..0....1..2..0

..3..0..0....3..1..1....1..0..2....0..1..2....3..0..0....0..2..1....0..3..0

..3..1..3....3..0..0....0..0..0....0..0..3....3..1..3....0..0..0....1..3..1

..3..3..1....3..1..3....0..1..2....2..1..3....3..3..1....1..2..0....1..2..3

CROSSREFS

Sequence in context: A069365 A163053 A097770 * A252376 A031522 A234500

Adjacent sequences: A252374 A252375 A252376 * A252378 A252379 A252380

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 17 2014

STATUS

approved