A252048 Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum not 1 3 6 or 8 and every diagonal and antidiagonal sum 1 3 6 or 8

2812, 2552, 2674, 4390, 10114, 17166, 26840, 60924, 113000, 193072, 421192, 784028, 1394282, 3087474, 5777716, 10357952, 23108068, 43785546, 79036304, 176309004, 336109562, 611054654, 1364292594, 2606484074, 4759349604, 10644268052

Offset

1,1

Comments

Column 3 of A252053

Links

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

Formula

Empirical: a(n) = -a(n-1) -a(n-2) +23*a(n-3) +31*a(n-4) +31*a(n-5) -165*a(n-6) -357*a(n-7) -369*a(n-8) +53*a(n-9) +1644*a(n-10) +1932*a(n-11) +4422*a(n-12) +494*a(n-13) -1896*a(n-14) -16792*a(n-15) -32095*a(n-16) -26119*a(n-17) -6505*a(n-18) +100341*a(n-19) +122599*a(n-20) +156811*a(n-21) -35565*a(n-22) -194105*a(n-23) -310933*a(n-24) -298627*a(n-25) -3455*a(n-26) +107071*a(n-27) +407666*a(n-28) +342678*a(n-29) +314008*a(n-30) +35160*a(n-31) -330742*a(n-32) -417150*a(n-33) -364713*a(n-34) +42359*a(n-35) +247670*a(n-36) +274446*a(n-37) +74904*a(n-38) -100256*a(n-39) -111128*a(n-40) -30696*a(n-41) +23664*a(n-42) +24624*a(n-43) +2880*a(n-44) -1920*a(n-45) -1920*a(n-46) for n>52

Example

Some solutions for n=4
..2..1..2..2..1....1..3..1..0..3....2..3..0..1..1....2..0..0..0..2
..1..0..1..1..0....2..0..2..3..2....2..2..0..3..1....2..1..2..1..2
..1..3..1..1..3....2..1..2..1..2....1..2..2..0..0....0..1..3..1..0
..2..1..2..2..1....3..1..3..1..0....1..1..2..2..3....3..2..0..2..3
..1..0..1..1..3....0..2..0..2..3....3..1..1..2..2....1..2..1..2..1
..1..3..1..1..0....1..2..1..2..1....3..0..1..1..2....1..3..3..3..1

Crossrefs

Sequence in context: A102170 A031551 A031731 * A254254 A254261 A258524

Adjacent sequences: A252045 A252046 A252047 * A252049 A252050 A252051

Keyword

nonn

Author

R. H. Hardin, Dec 13 2014

Status

approved