A252264 Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 4 6 or 7

258, 822, 3016, 10302, 35486, 122506, 420420, 1446744, 4990438, 17183040, 59122262, 203560110, 701041422, 2413836036, 8310468310, 28613117804, 98520290558, 339220390780, 1167963347912, 4021394031518, 13846106821008

Offset

1,1

Comments

Column 3 of A252269

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +12*a(n-3) +32*a(n-4) +44*a(n-5) +37*a(n-6) -32*a(n-7) -81*a(n-8) -12*a(n-9) +47*a(n-10) +38*a(n-11) +8*a(n-12) -6*a(n-13) -4*a(n-14) -4*a(n-15) for n>17

Example

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

Crossrefs

Sequence in context: A031514 A173981 A339538 * A202892 A158230 A209945

Adjacent sequences: A252261 A252262 A252263 * A252265 A252266 A252267

Keyword

nonn

Author

R. H. Hardin, Dec 16 2014

Status

approved