|
| |
|
|
A236523
|
|
T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the difference of the upper median and minimum value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise
|
|
8
|
|
|
|
16, 52, 52, 160, 264, 160, 476, 1256, 1256, 476, 1392, 5670, 9212, 5670, 1392, 4020, 25023, 63208, 63208, 25023, 4020, 11520, 108214, 421516, 655460, 421516, 108214, 11520, 32828, 462970, 2728079, 6591144, 6591144, 2728079, 462970, 32828, 93200
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
Table starts
.....16.......52........160..........476...........1392.............4020
.....52......264.......1256.........5670..........25023...........108214
....160.....1256.......9212........63208.........421516..........2728079
....476.....5670......63208.......655460........6591144.........63997604
...1392....25023.....421516......6591144.......99655626.......1448355717
...4020...108214....2728079.....63997604.....1448355717......31459840764
..11520...462970...17385844....610630403....20627269098.....668463714817
..32828..1962897..109182283...5723134951...287546676233...13878535769685
..93200..8278491..680017778..53126385011..3961701125458..284431385172713
.263892.34768983.4204683204.488732268982.53967671743495.5756312538787583
|
|
|
LINKS
|
R. H. Hardin, Table of n, a(n) for n = 1..162
|
|
|
FORMULA
|
Empirical for column k:
k=1: a(n) = 4*a(n-1) -a(n-2) -8*a(n-3) +4*a(n-4)
k=2: [order 15]
k=3: [order 37]
k=4: [order 82]
|
|
|
EXAMPLE
|
Some solutions for n=3 k=4
..1..1..0..1..0....1..0..1..0..0....0..1..1..0..1....0..0..0..1..0
..0..0..1..0..1....0..1..1..1..1....0..1..0..1..0....1..1..1..1..1
..0..0..0..1..0....1..0..1..0..1....1..0..1..1..0....1..0..1..0..1
..0..0..0..1..1....0..1..0..1..0....0..1..0..1..0....1..1..1..1..1
|
|
|
CROSSREFS
|
Column 1 is A235653
Sequence in context: A204716 A192248 A297640 * A235660 A044118 A044499
Adjacent sequences: A236520 A236521 A236522 * A236524 A236525 A236526
|
|
|
KEYWORD
|
nonn,tabl
|
|
|
AUTHOR
|
R. H. Hardin, Jan 27 2014
|
|
|
STATUS
|
approved
|
| |
|
|
