A235433 Number of (n+1)X(2+1) 0..2 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise

583, 10241, 169041, 2616323, 39122513, 570624077, 8196586161, 116562545251, 1647270158195, 23187892369285, 325616686294829, 4565731504556045, 63962814939256253, 895599880473702051, 12536147084203252091

Offset

1,1

Comments

Column 2 of A235437

Links

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

Formula

Empirical: a(n) = 29*a(n-1) -190*a(n-2) -1384*a(n-3) +16870*a(n-4) +15076*a(n-5) -560073*a(n-6) +386321*a(n-7) +10056820*a(n-8) -14632800*a(n-9) -109381708*a(n-10) +220652040*a(n-11) +747469348*a(n-12) -1951564632*a(n-13) -3157375426*a(n-14) +11088182506*a(n-15) +7356532635*a(n-16) -41949194967*a(n-17) -3725400714*a(n-18) +107872867100*a(n-19) -31037208786*a(n-20) -191491662740*a(n-21) +107475900667*a(n-22) +236430165173*a(n-23) -186697891694*a(n-24) -201814338566*a(n-25) +205843229892*a(n-26) +115575164372*a(n-27) -152490074776*a(n-28) -40687790104*a(n-29) +76482306464*a(n-30) +6170204672*a(n-31) -25383790976*a(n-32) +1141607424*a(n-33) +5260475904*a(n-34) -701665280*a(n-35) -602173440*a(n-36) +118241280*a(n-37) +27869184*a(n-38) -6635520*a(n-39)

Example

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

Crossrefs

Sequence in context: A032373 A236486 A236491 * A205069 A187050 A252195

Adjacent sequences: A235430 A235431 A235432 * A235434 A235435 A235436

Keyword

nonn

Author

R. H. Hardin, Jan 10 2014

Status

approved