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Search: id:A126503
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| A126503 |
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Number of base 8 n-digit numbers with adjacent digits differing by four or less. |
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+0
2
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| 1, 8, 52, 348, 2322, 15500, 103462, 690610, 4609826, 30770620, 205394096, 1371006978, 9151480836, 61086196378, 407750773322, 2721739165358, 18167627307952, 121269034961780, 809471627267722, 5403228578160660
(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 8 differing by three or less A126476, two or less A126395, one or less A126362.
Sequence in context: A111996 A016129 A006631 this_sequence A130153 A116171 A099622
Adjacent sequences: A126500 A126501 A126502 this_sequence A126504 A126505 A126506
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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 28 2006
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