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Search: id:A125544
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| A125544 |
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Number of n X n arrays with entries in 1..10 in which adjacent entries differ by 8 or less (adjacent means in x or y directions). |
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+0
1
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| 1, 10, 9282, 809972882, 6620278776930050, 5070242688355834000238994, 363841631496359667433584638167920450, 2446405761143101128307819275435459905126486602002
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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[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))
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PROGRAM
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(S/R) stvar $[N][N]:(0.. M-1) init $[][]:=0 asgn $[][]->{*} kill +[i in 0.. N-2](+[j in 0.. N-1](($[i][j]`-$[i+1][j]`>8)+($[i+1][j]`-$[i][j]`>8)+($[j][i]`-$[j][i+1]`>8)+($[j][i+1]`-$[j][i]`>8)))
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CROSSREFS
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Sequence in context: A108089 A125543 A109893 this_sequence A137641 A137642 A013746
Adjacent sequences: A125541 A125542 A125543 this_sequence A125545 A125546 A125547
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KEYWORD
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nonn
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AUTHOR
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Ron Hardin (rhh(AT)cadence.com), Dec 31 2006
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