A205211 Number of (n+1)X5 0..2 arrays with the determinants of 2X2 subblocks nondecreasing rightwards and downwards

8128, 203313, 5500266, 155765726, 4357148705, 126335408689, 3665236234914, 107599177704443, 3162201607291377, 93261962846511109, 2752327731849681643, 81313033009435575163, 2402968444274785132961, 71036414189010970123641

Offset

1,1

Comments

Column 4 of A205215

Links

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

Formula

Empirical: a(n) = 76*a(n-1) -1890*a(n-2) +7814*a(n-3) +433472*a(n-4) -7410450*a(n-5) +21050374*a(n-6) +543472730*a(n-7) -5743088303*a(n-8) +9115472782*a(n-9) +177056065404*a(n-10) -1150735204808*a(n-11) +911411738896*a(n-12) +16666552908704*a(n-13) -68466544130496*a(n-14) +41871678176896*a(n-15) +366081486120448*a(n-16) -956560642095104*a(n-17) +306277295546368*a(n-18) +2086803463536640*a(n-19) -3233804956729344*a(n-20) +1109083268579328*a(n-21) +941527161372672*a(n-22) -609420425822208*a(n-23) for n>30

Example

Some solutions for n=4
..0..2..2..0..0....0..0..0..1..1....2..2..2..0..1....1..0..0..2..2
..2..2..2..0..0....2..1..0..0..0....1..0..0..0..2....1..0..0..2..2
..2..2..2..0..0....2..1..0..2..2....0..0..0..0..1....1..0..0..2..2
..1..1..1..0..0....2..1..0..2..2....2..1..0..0..2....1..0..0..2..2
..0..0..0..0..0....0..0..0..1..1....2..1..0..0..2....2..0..0..1..1

Crossrefs

Sequence in context: A229381 A147633 A237145 * A206219 A231862 A088846

Adjacent sequences: A205208 A205209 A205210 * A205212 A205213 A205214

Keyword

nonn

Author

R. H. Hardin Jan 23 2012

Status

approved