A255154 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 0 or 1 and no column sum 0 or 1

141, 459, 1637, 5615, 19437, 67465, 232685, 804189, 2784175, 9625969, 33269463, 115046055, 397861797, 1375713437, 4756735709, 16447734043, 56873715759, 196658964777, 680003968725, 2351308608855, 8130361322703, 28113190609661

Offset

1,1

Comments

Column 3 of A255159

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +13*a(n-3) +31*a(n-4) +44*a(n-5) +33*a(n-6) -50*a(n-7) -84*a(n-8) +a(n-9) +76*a(n-10) -86*a(n-11) -274*a(n-12) -149*a(n-13) -14*a(n-14) +12*a(n-15) -2*a(n-16) -4*a(n-17) +4*a(n-18) for n>20

Example

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

Crossrefs

Cf. A255159

Sequence in context: A063373 A145192 A228597 * A068046 A186954 A235760

Adjacent sequences: A255151 A255152 A255153 * A255155 A255156 A255157

Keyword

nonn

Author

R. H. Hardin, Feb 15 2015

Status

approved