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Search: id:A126484
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| A126484 |
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Number of base 16 n-digit numbers with adjacent digits differing by three or less. |
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+0
3
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| 1, 16, 100, 644, 4188, 27384, 179612, 1180228, 7763498, 51099608, 336460302, 2215852392, 14594879684, 96137054032, 633284508204, 4171739971970, 27481572723178, 181037861103928, 1192612216360274, 7856520861476702
(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)+7^(n-1) for base>=3n-2; a(base,n)=a(base-1,n)+7^(n-1)-2 when base=3n-3
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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]`-$[i+1]`>3)+($[i+1]`-$[i]`>3))
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CROSSREFS
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Cf. Base 16 differing by two or less A126403, one or less A126370.
Sequence in context: A014796 A052206 A125326 this_sequence A091100 A061432 A115328
Adjacent sequences: A126481 A126482 A126483 this_sequence A126485 A126486 A126487
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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 27 2006
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