A235433 Number of (n+1) X (2+1) 0..2 arrays with the difference between each 2 X 2 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

Cf. A235437.

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