A255788 Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0

715, 884, 2141, 5240, 13857, 38889, 110678, 318089, 924343, 2692440, 7849989, 22916697, 66947552, 195579671, 571460971, 1669900630, 4879839649, 14260067745, 41672230910, 121779090341, 355876611009, 1039983861888, 3039166348135

Offset

1,1

Comments

Column 4 of A255792

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -a(n-2) -3*a(n-3) -12*a(n-4) -14*a(n-5) +72*a(n-6) -29*a(n-7) +34*a(n-8) -157*a(n-9) +103*a(n-10) +144*a(n-11) -207*a(n-12) -16*a(n-13) -200*a(n-14) +618*a(n-15) -192*a(n-16) -360*a(n-17) +174*a(n-18) +152*a(n-19) +501*a(n-20) -1071*a(n-21) +138*a(n-22) +343*a(n-23) +168*a(n-24) -129*a(n-25) -535*a(n-26) +659*a(n-27) -58*a(n-28) +158*a(n-29) -341*a(n-30) -56*a(n-31) +124*a(n-32) -12*a(n-33) +8*a(n-34) -114*a(n-35) +129*a(n-36) -21*a(n-37) +52*a(n-38) -40*a(n-39) -32*a(n-40) +22*a(n-41) -10*a(n-42) +12*a(n-43) -4*a(n-44) for n>47

Example

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

Crossrefs

Cf. A255792

Sequence in context: A250378 A005467 A214186 * A029565 A154042 A027809

Adjacent sequences: A255785 A255786 A255787 * A255789 A255790 A255791

Keyword

nonn

Author

R. H. Hardin, Mar 06 2015

Status

approved