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Search: id:A125535
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| A125535 |
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Number of n X n arrays with entries in 1..6 in which adjacent entries differ by 3 or less (adjacent means in x or y directions). |
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+0
1
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| 1, 6, 694, 1842302, 106627685414, 135334709216482502, 3763490062900640355493914, 2293235289704399729849626764238522, 30618002869205254395943653838381933205254046
(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]`-$[i+1][j]`>3)+($[i+1][j]`-$[i][j]`>3)+($[j][i]`-$[j][i+1]`>3)+($[j][i+1]`-$[j][i]`>3)))
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CROSSREFS
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Sequence in context: A132928 A055317 A046985 this_sequence A116298 A112637 A014525
Adjacent sequences: A125532 A125533 A125534 this_sequence A125536 A125537 A125538
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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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