A251225 Number of (n+1)X(5+1) 0..1 arrays with no 2X2 subblock having the minimum of its diagonal elements greater than the absolute difference of its antidiagonal elements

2084, 72985, 2515011, 87024544, 3007738372, 103986727042, 3594807908974, 124275144041759, 4296252165879236, 148523812761431640, 5134547519926425245, 177504075991625903000, 6136411350172751480986, 212139042310887309043390

Offset

1,1

Comments

Column 5 of A251228

Links

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

Formula

Empirical: a(n) = 21*a(n-1) +554*a(n-2) -1341*a(n-3) -56723*a(n-4) -7614*a(n-5) +2277951*a(n-6) +445571*a(n-7) -46434220*a(n-8) +32482888*a(n-9) +467723527*a(n-10) -889155765*a(n-11) -1188153000*a(n-12) +4147652079*a(n-13) -132672964*a(n-14) -8042725671*a(n-15) +4499239992*a(n-16) +7457116236*a(n-17) -6933658033*a(n-18) -3126154333*a(n-19) +4558838720*a(n-20) +384337441*a(n-21) -1441277326*a(n-22) +61108155*a(n-23) +221926922*a(n-24) -13300621*a(n-25) -18641195*a(n-26) -491525*a(n-27) +335825*a(n-28) +5625*a(n-29)

Example

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

Crossrefs

Sequence in context: A343179 A323750 A323471 * A306421 A201917 A250076

Adjacent sequences: A251222 A251223 A251224 * A251226 A251227 A251228

Keyword

nonn

Author

R. H. Hardin, Nov 30 2014

Status

approved