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Search: id:A126365
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| A126365 |
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Number of base 11 n-digit numbers with adjacent digits differing by one or less. |
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+0
5
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| 1, 11, 31, 89, 257, 745, 2165, 6303, 18375, 53625, 156629, 457795, 1338779, 3916897, 11463989, 33563035, 98286811, 287884769, 843365485, 2471005371, 7240717539, 21219286113, 62189049541, 182274146987, 534268171099
(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,n)=a(base-1,n)+3^(n-1) for base>=n; a(base,n)=a(base-1,n)+3^(n-1)-2 when base=n-1
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PROGRAM
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(S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-2](($[i]`-$[i+1]`>1)+($[i+1]`-$[i]`>1))
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CROSSREFS
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Sequence in context: A038768 A072672 A072673 this_sequence A082102 A027847 A068841
Adjacent sequences: A126362 A126363 A126364 this_sequence A126366 A126367 A126368
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KEYWORD
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nonn,base
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AUTHOR
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Ron Hardin (rhhardin(AT)att.net), Dec 26 2006
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