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A125537
Number of n X n arrays with entries in 1..7 in which adjacent entries differ by 4 or less (adjacent means in x or y directions).
0
1, 7, 1527, 11721313, 3050388738539, 27037458180935427547, 8157016618633297682357104957, 83768469285967811192253950787571671419, 29282610870399702055320868574328652947738735891523
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))
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]`-$[i+1][j]`>4)+($[i+1][j]`-$[i][j]`>4)+($[j][i]`-$[j][i+1]`>4)+($[j][i+1]`-$[j][i]`>4)))
CROSSREFS
Sequence in context: A362060 A265963 A191957 * A264742 A308441 A220989
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 31 2006
STATUS
approved