A253231 - OEIS

A253231

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically

16, 47, 47, 125, 132, 125, 335, 306, 306, 335, 907, 742, 494, 742, 907, 2470, 1775, 914, 914, 1775, 2470, 6740, 4158, 1709, 1498, 1709, 4158, 6740, 18406, 9551, 3241, 2543, 2543, 3241, 9551, 18406, 50278, 21591, 6231, 4490, 3936, 4490, 6231, 21591, 50278

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OFFSET

1,1

COMMENTS

Table starts

.....16.....47...125...335...907..2470...6740..18406..50278.137354.375250

.....47....132...306...742..1775..4158...9551..21591..48179.106371.232787

....125....306...494...914..1709..3241...6231..12122..23800..47037..93377

....335....742...914..1498..2543..4490...8216..15476..29780..58148.114620

....907...1775..1709..2543..3936..6414..11022..19851..37083..71082.138576

...2470...4158..3241..4490..6414..9630..15363..26064..46635..86880.166407

...6740...9551..6231..8216.11022.15363..22656..35736..60273.107607.200418

..18406..21591.12122.15476.19851.26064..35736..52110..81672.137394.245220

..50278..48179.23800.29780.37083.46635..60273..81672.118182.184503.310035

.137354.106371.47037.58148.71082.86880.107607.137394.184503.265458.413307

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..833

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) -2*a(n-3) for n>6

k=2: a(n) = 5*a(n-1) -8*a(n-2) +4*a(n-3) for n>7

k=3..7: a(n) = 5*a(n-1) -9*a(n-2) +7*a(n-3) -2*a(n-4) for n>8

EXAMPLE

Some solutions for n=4 k=4

..0..0..0..0..1....0..1..0..0..1....0..1..1..1..1....0..0..1..1..1

..1..0..0..0..0....0..1..0..0..0....0..1..1..1..1....0..0..0..0..0

..1..0..0..0..0....0..1..0..0..0....1..1..1..1..1....1..1..0..0..0

..1..0..0..0..0....1..1..0..0..0....0..0..0..0..0....1..1..0..0..0

..1..0..0..1..1....1..1..0..0..0....0..0..0..0..1....1..0..0..1..1

CROSSREFS

Column 1 is A204609

Sequence in context: A235549 A126370 A133345 * A253350 A204616 A204800

Adjacent sequences: A253228 A253229 A253230 * A253232 A253233 A253234

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 29 2014

STATUS

approved