A255794 Number of (n+2)X(1+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 3

70, 134, 210, 409, 733, 1318, 2380, 4187, 7603, 13623, 24696, 44353, 79816, 143973, 258962, 467962, 842435, 1519987, 2737645, 4936623, 8901183, 16045214, 28936123, 52152368, 94041997, 169525217, 305673116, 551093021, 993560604, 1791354805

Offset

1,1

Comments

Column 1 of A255801

Links

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

Formula

Empirical: a(n) = a(n-2) +2*a(n-3) +3*a(n-4) +3*a(n-5) +2*a(n-6) +3*a(n-7) -13*a(n-8) -11*a(n-9) -10*a(n-10) -a(n-11) +4*a(n-12) -a(n-13) +a(n-14) for n>21

Example

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

Crossrefs

Cf. A255801

Sequence in context: A255801 A044193 A044574 * A181465 A043482 A044321

Adjacent sequences: A255791 A255792 A255793 * A255795 A255796 A255797

Keyword

nonn

Author

R. H. Hardin, Mar 06 2015

Status

approved