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Search: id:A126486
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| A126486 |
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Number of base 18 n-digit numbers with adjacent digits differing by three or less. |
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+0 3
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| 1, 18, 114, 742, 4874, 32186, 213226, 1415510, 9409592, 62605198, 416772336, 2775553058, 18488673878, 123177305178, 820730049614, 5468888194572, 36443213300730, 242854735692378, 1618394841578240, 10785184848010492
(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 18 differing by two or less A126405, one or less A126372.
Sequence in context: A019584 A041622 A125328 this_sequence A061803 A101089 A022678
Adjacent sequences: A126483 A126484 A126485 this_sequence A126487 A126488 A126489
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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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