A251314 Number of (n+1)X(5+1) 0..1 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements

365, 2199, 12859, 76167, 451826, 2688099, 16024915, 95495471, 568712168, 3387770571, 20189713569, 120329111819, 717061495216, 4273007995794, 25464690252601, 151759389097464, 904412481052043, 5389803787476828

Offset

1,1

Comments

Column 5 of A251317

Links

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

Formula

Empirical: a(n) = 21*a(n-1) -209*a(n-2) +1373*a(n-3) -6671*a(n-4) +24836*a(n-5) -72066*a(n-6) +164681*a(n-7) -296387*a(n-8) +415164*a(n-9) -439957*a(n-10) +329594*a(n-11) -140172*a(n-12) -13684*a(n-13) +64019*a(n-14) -38491*a(n-15) +1377*a(n-16) +12766*a(n-17) -8365*a(n-18) +3157*a(n-19) -938*a(n-20) -135*a(n-21) +270*a(n-22) -41*a(n-23) +4*a(n-24) -5*a(n-25) -a(n-26) for n>27

Example

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

Crossrefs

Sequence in context: A062681 A259948 A203806 * A275182 A275130 A274727

Adjacent sequences: A251311 A251312 A251313 * A251315 A251316 A251317

Keyword

nonn

Author

R. H. Hardin, Dec 01 2014

Status

approved