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A234823 T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings). 9
168, 686, 686, 2380, 2220, 2380, 9716, 6282, 6282, 9716, 34092, 22098, 15224, 22098, 34092, 139112, 68570, 47136, 47136, 68570, 139112, 493348, 252486, 131704, 129384, 131704, 252486, 493348, 2011808, 828354, 443220, 325424, 325424, 443220, 828354 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
168 686 2380 9716 34092 139112 493348 2011808
686 2220 6282 22098 68570 252486 828354 3136350
2380 6282 15224 47136 131704 443220 1352816 4791948
9716 22098 47136 129384 325424 994812 2794776 9151956
34092 68570 131704 325424 747192 2099300 5474032 16726940
139112 252486 443220 994812 2099300 5441232 13185612 37597992
493348 828354 1352816 2794776 5474032 13185612 29871848 79958916
2011808 3136350 4791948 9151956 16726940 37597992 79958916 201644928
7205628 10660586 15484360 27722816 47728392 100759412 202105408 481962668
29360336 41107950 56779452 95289828 154893260 307659576 583797684 1320262800
LINKS
FORMULA
Empirical for column k (the k=2..6 recurrence also works for column 1; apparently all rows and columns satisfy the same order 23 recurrence):
k=1: [linear recurrence of order 7].
k=2..6: [same recurrence of order 23].
EXAMPLE
Some solutions for n=4, k=4:
5 0 3 2 4 4 3 6 2 4 3 6 4 5 4 6 0 3 0 4
2 3 0 5 1 1 6 3 5 1 5 2 6 1 6 3 3 0 3 1
6 1 4 3 5 3 2 5 1 3 0 3 1 2 1 6 0 3 0 4
2 3 0 5 1 1 6 3 5 1 4 1 5 0 5 3 3 0 3 1
6 1 4 3 5 3 2 5 1 3 1 4 2 3 2 6 0 3 0 4
CROSSREFS
Sequence in context: A234738 A234731 A157998 * A234816 A245868 A251461
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 31 2013
STATUS
approved

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Last modified June 7 04:44 EDT 2023. Contains 363151 sequences. (Running on oeis4.)