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Search: id:A125541
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| A125541 |
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Number of n X n arrays with entries in 1..9 in which adjacent entries differ by 6 or less (adjacent means in x or y directions). |
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+0
1
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| 1, 9, 4999, 183051647, 432993880473035, 66327998573151304476953, 657786158098403835519781868703261, 422337116619421509499034109697459735541947069
(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]`-$[i+1][j]`>6)+($[i+1][j]`-$[i][j]`>6)+($[j][i]`-$[j][i+1]`>6)+($[j][i+1]`-$[j][i]`>6)))
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CROSSREFS
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Sequence in context: A046896 A036516 A024126 this_sequence A133248 A125542 A013744
Adjacent sequences: A125538 A125539 A125540 this_sequence A125542 A125543 A125544
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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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