A204496 Number of (n+2)X5 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally or vertically

699151, 3418839, 18296109, 306913392, 3151347159, 29239334379, 379274173335, 3641409829935, 34620279251220, 418417981047306, 4096732979422647, 40558686661842885, 466567312647906171, 4645894923118379898

Offset

1,1

Comments

Column 3 of A204501

Links

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

Formula

Empirical: a(n) = 1459*a(n-3) +2005*a(n-4) +5310*a(n-5) -511983*a(n-6) -1249810*a(n-7) -1338909*a(n-8) +777384*a(n-9) +63820566*a(n-10) -147709668*a(n-11) +238990122*a(n-12) -916135317*a(n-13) -4608149598*a(n-14) -3940949205*a(n-15) +7990407837*a(n-16) +220252549014*a(n-17) +676649077299*a(n-18) -164172129993*a(n-19) -571730300937*a(n-20) -9237319418664*a(n-21) -20628023965983*a(n-22) -11834560642464*a(n-23) +17255332260783*a(n-24) +161544104529498*a(n-25) +47857887606762*a(n-26) +625306625984133*a(n-27) -1730900000913021*a(n-28) +304887438662949*a(n-29) -1164464483337036*a(n-30) -4124479186986921*a(n-31) +9929079530820522*a(n-32) -2586980066588397*a(n-33) -9923892788872269*a(n-34) +17371684565907696*a(n-35) -9285100480065060*a(n-36) +13522081539016584*a(n-37) -2122141045534452*a(n-38) +989039140361712*a(n-39) +46907074411776*a(n-40) +1961780498797392*a(n-41) +51490536208848*a(n-42) +93063567064320*a(n-43) -53061110173440*a(n-44) -1101996057600*a(n-46) for n>50

Example

Some solutions for n=3
..1..1..0..1..1....0..2..0..0..1....1..0..1..1..2....0..0..0..0..1
..1..2..1..0..2....1..1..2..1..0....0..1..0..1..1....2..0..0..1..1
..1..0..2..1..2....2..0..1..2..1....1..2..0..1..2....0..1..2..2..1
..0..1..2..2..2....0..1..2..2..2....2..0..1..2..0....0..2..0..1..2
..0..2..0..1..2....0..0..0..1..2....2..1..2..2..0....0..0..1..2..2

Crossrefs

Sequence in context: A205439 A027829 A258129 * A332850 A378475 A183835

Adjacent sequences: A204493 A204494 A204495 * A204497 A204498 A204499

Keyword

nonn

Author

R. H. Hardin Jan 15 2012

Status

approved