|
| |
|
|
A223644
|
|
T(n,k)=Number of nXk 0..1 arrays with rows, columns, diagonals and antidiagonals unimodal
|
|
7
|
|
|
|
2, 4, 4, 7, 16, 7, 11, 49, 49, 11, 16, 121, 218, 121, 16, 22, 256, 726, 726, 256, 22, 29, 484, 2014, 2962, 2014, 484, 29, 37, 841, 4904, 9808, 9808, 4904, 841, 37, 46, 1369, 10797, 28450, 36947, 28450, 10797, 1369, 46, 56, 2116, 21917, 74599, 120307, 120307, 74599
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
Table starts
..2....4.....7.....11......16.......22........29........37.........46
..4...16....49....121.....256......484.......841......1369.......2116
..7...49...218....726....2014.....4904.....10797.....21917......41601
.11..121...726...2962....9808....28450.....74599....179991.....404599
.16..256..2014...9808...36947...120307....354726....967582....2469396
.22..484..4904..28450..120307...428187...1370104...4063584...11337648
.29..841.10797..74599..354726..1370104...4682514..14767708...43862845
.37.1369.21917.179991..967582..4063584..14767708..49045356..152945545
.46.2116.41601.404599.2469396.11337648..43862845.152945545..497721760
.56.3136.74635.855417.5941152.29980136.124004457.454159399.1539486460
|
|
|
LINKS
|
R. H. Hardin, Table of n, a(n) for n = 1..199
|
|
|
FORMULA
|
Empirical: Columns 1..7 are polynomials of degree 2*k for n > 0,0,0,4,7,13,19
|
|
|
EXAMPLE
|
Some solutions for n=4 k=4
..1..0..0..0....1..1..1..0....0..0..0..0....1..1..0..0....0..1..1..1
..1..1..1..1....1..1..1..0....0..1..1..1....1..1..1..0....0..1..1..1
..0..1..1..0....1..1..1..0....1..1..1..0....0..1..1..0....0..0..0..1
..0..1..1..0....0..1..1..0....1..0..0..0....0..0..0..0....0..0..0..0
|
|
|
CROSSREFS
|
Column 1 is A000124
Column 2 is A086601
Sequence in context: A237859 A240338 A227103 * A223637 A223620 A227679
Adjacent sequences: A223641 A223642 A223643 * A223645 A223646 A223647
|
|
|
KEYWORD
|
nonn,tabl
|
|
|
AUTHOR
|
R. H. Hardin Mar 24 2013
|
|
|
STATUS
|
approved
|
| |
|
|
