A252338 Number of (n+2)X(3+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 or 4

234, 810, 2978, 10154, 34894, 120474, 413478, 1423482, 4910062, 16902314, 58156234, 200254002, 689660322, 2374561330, 8175197942, 28147732742, 96918297378, 333703130278, 1148964344370, 3955983666942, 13620906393306

Offset

1,1

Comments

Column 3 of A252343

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

Crossrefs

Sequence in context: A338391 A304615 A287878 * A252777 A252771 A251515

Adjacent sequences: A252335 A252336 A252337 * A252339 A252340 A252341

Keyword

nonn

Author

R. H. Hardin, Dec 16 2014

Status

approved