A258889 Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum less than the central column sum

3036, 4489, 6072, 8100, 12804, 20164, 33252, 54756, 88312, 141376, 227568, 364816, 583204, 929296, 1483776, 2365444, 3775584, 6022116, 9624864, 15382084, 24627120, 39438400, 63264812, 101525776, 163156600, 262310416, 422211920, 679853476

Offset

1,1

Comments

Column 3 of A258894

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +3*a(n-2) -16*a(n-3) +5*a(n-4) +23*a(n-5) -24*a(n-6) +15*a(n-7) +9*a(n-8) -58*a(n-9) +41*a(n-10) +17*a(n-11) -32*a(n-12) +45*a(n-13) -27*a(n-14) -24*a(n-15) +27*a(n-16) -15*a(n-17) +8*a(n-18) +9*a(n-19) -9*a(n-20) +2*a(n-21) -a(n-22) -a(n-23) +a(n-24) for n>27

Example

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

Crossrefs

Cf. A258894

Sequence in context: A334371 A118652 A084719 * A254169 A254162 A254451

Adjacent sequences: A258886 A258887 A258888 * A258890 A258891 A258892

Keyword

nonn

Author

R. H. Hardin, Jun 14 2015

Status

approved