A255096 Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 1 and no column sum 1

179, 539, 1838, 6110, 20928, 72639, 250704, 868395, 3018347, 10479598, 36378224, 126375034, 439060517, 1525204952, 5298346147, 18406546077, 63945299048, 222148717950, 771751048840, 2681087539315, 9314216969134, 32358021118021

Offset

1,1

Comments

Column 3 of A255101

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) +18*a(n-3) -17*a(n-4) -5*a(n-5) -65*a(n-6) -76*a(n-7) +133*a(n-8) +215*a(n-9) +211*a(n-10) -318*a(n-11) -191*a(n-12) -34*a(n-13) +174*a(n-14) +288*a(n-15) -356*a(n-16) -568*a(n-17) -431*a(n-18) +165*a(n-19) +589*a(n-20) +542*a(n-21) +244*a(n-22) +7*a(n-23) -137*a(n-24) -138*a(n-25) -140*a(n-26) -72*a(n-27) -32*a(n-28) -4*a(n-29) for n>31

Example

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

Crossrefs

Cf. A255101

Sequence in context: A142611 A283921 A120821 * A253627 A142855 A069796

Adjacent sequences: A255093 A255094 A255095 * A255097 A255098 A255099

Keyword

nonn

Author

R. H. Hardin, Feb 14 2015

Status

approved