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A125538
Number of n X n arrays with entries in 1..7 in which adjacent entries differ by 5 or less (adjacent means in x or y directions).
0
1, 7, 2067, 26587217, 14749946711237, 353372896021348132827, 365544303118982657966348922687, 16327402400665015344535793527620336180117
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OFFSET
0,2
COMMENTS
[Empirical] a(base+1,n,diff)=a(base,n,diff)+F(n,diff) for base>=2.diff.(n-1) and F(n,diff)= (n=2,
A063496
(diff+1)) (n=3,
A068744
(diff+1)) (n=4,
A068745
(diff+1)) (n=5,
A068746
(diff+1)) (n=6,
A068747
(diff+1))
LINKS
Table of n, a(n) for n=0..7.
PROG
(S/R) stvar $[N][N]:(0.. M-1) init $[][]:=0 asgn $[][]->{*} kill +[i in 0.. N-2](+[j in 0.. N-1](($[i][j]`-$[i+1][j]`>5)+($[i+1][j]`-$[i][j]`>5)+($[j][i]`-$[j][i+1]`>5)+($[j][i+1]`-$[j][i]`>5)))
CROSSREFS
Sequence in context:
A056235
A139299
A004818
*
A373035
A129732
A186164
Adjacent sequences:
A125535
A125536
A125537
*
A125539
A125540
A125541
KEYWORD
nonn
AUTHOR
R. H. Hardin
, Dec 31 2006
STATUS
approved