A256024 Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 1 and no column sum 1

154, 484, 1689, 5559, 18881, 65202, 223901, 772322, 2674536, 9246717, 31958849, 110567125, 382593936, 1323597069, 4578966412, 15842082720, 54811158663, 189635937913, 656096229235, 2269948418864, 7853573067925, 27171812792714

Offset

1,1

Comments

Column 3 of A256029

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -5*a(n-2) +17*a(n-3) -13*a(n-4) -11*a(n-5) -53*a(n-6) -82*a(n-7) +104*a(n-8) +226*a(n-9) +158*a(n-10) -23*a(n-11) -338*a(n-12) -303*a(n-13) -89*a(n-14) +231*a(n-15) +283*a(n-16) +125*a(n-17) -59*a(n-18) -145*a(n-19) -77*a(n-20) -31*a(n-21) +26*a(n-22) +20*a(n-23) +24*a(n-24) +8*a(n-25) +4*a(n-26) for n>28

Example

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

Crossrefs

Cf. A256029

Sequence in context: A053243 A320708 A261377 * A239564 A250626 A235107

Adjacent sequences: A256021 A256022 A256023 * A256025 A256026 A256027

Keyword

nonn

Author

R. H. Hardin, Mar 13 2015

Status

approved