|
| |
|
|
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
|
|
8
|
|
|
|
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
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
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
|
|
|
|
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
|
|
|
|
KEYWORD
|
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
