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Search: id:A125547
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| A125547 |
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Number of n X n arrays with entries in 1..12 in which adjacent entries differ by 9 or less (adjacent means in x or y directions). |
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+0
1
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| 1, 12, 17782, 3359860178, 80173083905265254, 241867388512389264991124102, 92239510661284205765199147022065188442, 4446848187806762069273466271591426934850445380022534
(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]`-$[i+1][j]`>9)+($[i+1][j]`-$[i][j]`>9)+($[j][i]`-$[j][i+1]`>9)+($[j][i+1]`-$[j][i]`>9)))
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CROSSREFS
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Sequence in context: A012735 A012674 A013514 this_sequence A012736 A013750 A127395
Adjacent sequences: A125544 A125545 A125546 this_sequence A125548 A125549 A125550
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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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