A251274 Number of (7+1)X(n+1) 0..1 arrays with no 2X2 subblock having x11-x00 less than x10-x01

10179, 161906, 1501739, 9772880, 49523566, 208452452, 760734085, 2480493084, 7386931919, 20428661228, 53150645617, 131458741458, 311732368552, 713787172312, 1587653508305, 3447998356240, 7343636929707, 15396659787782

Offset

1,1

Comments

Row 7 of A251268

Links

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

Formula

Empirical: a(n) = 17*a(n-1) -135*a(n-2) +665*a(n-3) -2275*a(n-4) +5733*a(n-5) -11011*a(n-6) +16445*a(n-7) -19305*a(n-8) +17875*a(n-9) -13013*a(n-10) +7371*a(n-11) -3185*a(n-12) +1015*a(n-13) -225*a(n-14) +31*a(n-15) -2*a(n-16)

Example

Some solutions for n=2
..0..1..0....0..1..0....0..0..0....0..0..1....0..0..0....0..1..1....0..0..0
..0..0..1....0..0..1....0..0..1....0..1..1....1..1..1....1..0..1....0..0..0
..1..1..0....1..1..1....0..1..1....0..0..1....0..1..1....0..1..1....0..0..1
..0..0..1....0..0..1....0..0..1....1..1..1....0..1..1....0..1..1....1..1..0
..0..0..1....0..0..0....1..1..1....0..1..1....1..1..1....0..0..1....0..0..1
..0..0..1....0..1..1....0..0..0....0..1..1....1..1..1....0..0..0....0..1..1
..0..0..1....0..1..1....0..1..1....0..1..1....0..0..0....0..0..1....1..1..1
..0..1..0....1..0..0....1..0..0....0..0..1....0..0..0....0..0..0....0..0..1

Crossrefs

Sequence in context: A323486 A153139 A243974 * A184205 A128878 A050267

Adjacent sequences: A251271 A251272 A251273 * A251275 A251276 A251277

Keyword

nonn

Author

R. H. Hardin, Dec 01 2014

Status

approved