|
|
A253985
|
|
T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal maximum nondecreasing horizontally and vertically
|
|
9
|
|
|
512, 3372, 3372, 21304, 36434, 21304, 136868, 417518, 417518, 136868, 881432, 4858102, 8727838, 4858102, 881432, 5659548, 55806952, 179261149, 179261149, 55806952, 5659548, 36317408, 642845877, 3672381306, 6386040127, 3672381306
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Table starts
.......512........3372..........21304............136868..............881432
......3372.......36434.........417518...........4858102............55806952
.....21304......417518........8727838.........179261149..........3672381306
....136868.....4858102......179261149........6386040127........228352636069
....881432....55806952.....3672381306......228352636069......14408056664402
...5659548...642845877....75620185999.....8192431991746.....913950319279306
..36317408..7415403315..1556452499274...293237386040072...57738786884410078
.233116252.85480006244.32027982651882.10498927207163381.3651898799311128482
|
|
LINKS
|
|
|
FORMULA
|
Empirical for column k:
k=1: [linear recurrence of order 13]
k=2: [order 41]
k=3: [order 68]
|
|
EXAMPLE
|
Some solutions for n=2 k=4
..1..0..0..1..1..0....1..0..0..1..1..0....1..1..1..1..0..0....0..1..0..1..1..0
..0..0..0..1..1..0....0..0..0..1..1..0....0..0..0..1..0..1....0..0..0..0..1..0
..0..0..0..0..1..0....0..0..0..1..0..0....1..0..1..1..1..0....1..0..0..0..1..1
..0..0..1..0..1..0....0..0..1..1..1..1....1..0..1..1..0..1....1..1..0..1..1..0
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|