A252265 Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 4 6 or 7

598, 2290, 10302, 44612, 188690, 800946, 3410622, 14539062, 61939050, 263654268, 1122558622, 4780929292, 20360099218, 86698049792, 369189620402, 1572170465338, 6694947958226, 28509673198118, 121405330624712

Offset

1,1

Comments

Column 4 of A252269

Links

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

Formula

Empirical: a(n) = a(n-1) +6*a(n-2) +20*a(n-3) +54*a(n-4) +38*a(n-5) -41*a(n-6) -191*a(n-7) -285*a(n-8) +296*a(n-9) +753*a(n-10) -160*a(n-11) -791*a(n-12) -99*a(n-13) +334*a(n-14) +98*a(n-15) -18*a(n-16) +54*a(n-17) -3*a(n-18) -35*a(n-19) +3*a(n-20) -12*a(n-21) -7*a(n-22) +4*a(n-23) for n>25

Example

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

Crossrefs

Sequence in context: A210384 A215195 A262252 * A029562 A273810 A095746

Adjacent sequences: A252262 A252263 A252264 * A252266 A252267 A252268

Keyword

nonn

Author

R. H. Hardin, Dec 16 2014

Status

approved