|
| |
|
|
A234169
|
|
T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings).
|
|
8
|
|
|
|
136, 766, 766, 4296, 4970, 4296, 24158, 32070, 32070, 24158, 135752, 208412, 236876, 208412, 135752, 764190, 1353986, 1773484, 1773484, 1353986, 764190, 4299592, 8846884, 13227132, 15427948, 13227132, 8846884, 4299592, 24233182, 57811490
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
Table starts
136 766 4296 24158 135752 764190
766 4970 32070 208412 1353986 8846884
4296 32070 236876 1773484 13227132 99877680
24158 208412 1773484 15427948 133660366 1183467658
135752 1353986 13227132 133660366 1337127500 13865878254
764190 8846884 99877680 1183467658 13865878254 171702282736
4299592 57811490 751361300 10438586426 142146253428 2098023535022
24233182 380032300 5729616704 94449496104 1522643238010 27538386579098
136504392 2498158614 43493374260 849993735464 16046511409532 353610525268640
|
|
|
LINKS
|
R. H. Hardin, Table of n, a(n) for n = 1..112
|
|
|
FORMULA
|
Empirical for column k:
k=1: a(n) = 4*a(n-1) +41*a(n-2) -132*a(n-3) -264*a(n-4).
k=2: [order 17].
k=3: [order 80].
|
|
|
EXAMPLE
|
Some solutions for n=2, k=4:
1 4 1 2 3 1 1 0 1 3 1 3 4 3 0 0 1 3 0 3
2 3 2 1 0 1 3 0 3 3 3 3 2 3 2 3 2 2 1 2
4 3 0 1 2 4 4 3 4 2 1 3 4 3 4 3 4 2 3 2
|
|
|
CROSSREFS
|
Sequence in context: A076331 A183901 A270341 * A234162 A262091 A251175
Adjacent sequences: A234166 A234167 A234168 * A234170 A234171 A234172
|
|
|
KEYWORD
|
nonn,tabl
|
|
|
AUTHOR
|
R. H. Hardin, Dec 20 2013
|
|
|
STATUS
|
approved
|
| |
|
|
