A255084 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 0

108, 265, 623, 1483, 3658, 8830, 21442, 51939, 125961, 305879, 742809, 1803332, 4375230, 10620310, 25781121, 62583760, 151913810, 368742077, 895059804, 2172650028, 5273900506, 12801714866, 31074374291, 75428919286, 183094180876

Offset

1,1

Comments

Column 1 of A255091

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +4*a(n-3) +5*a(n-4) +5*a(n-5) +a(n-6) -14*a(n-7) -47*a(n-8) -17*a(n-9) +7*a(n-10) +29*a(n-11) +17*a(n-12) +26*a(n-13) +21*a(n-14) -10*a(n-15) +3*a(n-16) -2*a(n-17) -3*a(n-18) +a(n-19) -a(n-20) for n>23

Example

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

Crossrefs

Cf. A255091

Sequence in context: A202195 A242867 A255091 * A252337 A204284 A204277

Adjacent sequences: A255081 A255082 A255083 * A255085 A255086 A255087

Keyword

nonn

Author

R. H. Hardin, Feb 14 2015

Status

approved