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Search: id:A126511
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| A126511 |
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Number of base 16 n-digit numbers with adjacent digits differing by four or less. |
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+0
2
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| 1, 16, 124, 996, 8084, 65928, 538668, 4404564, 36026044, 294702188, 2410856988, 19722778372, 161349704452, 1319986934708, 10798704179268, 88343352897012, 722730197415044, 5912600825871716, 48370539666789668, 395715727752799652
(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)+9^(n-1) for base>=4n-3; a(base,n)=a(base-1,n)+9^(n-1)-2 when base=4n-4
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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]`-$[i+1]`>4)+($[i+1]`-$[i]`>4))
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CROSSREFS
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Cf. Base 16 differing by three or less A126484, two or less A126403, one or less A126370.
Sequence in context: A006215 A060633 A125353 this_sequence A067442 A000485 A007787
Adjacent sequences: A126508 A126509 A126510 this_sequence A126512 A126513 A126514
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KEYWORD
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nonn
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AUTHOR
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Ron Hardin (rhhardin(AT)att.net), Dec 28 2006
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