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A071159
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Integers whose decimal expansion start with 1, do not contain zeros and each successive digit to the right is at most one greater than the previous digit.
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10
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1, 11, 12, 111, 112, 121, 122, 123, 1111, 1112, 1121, 1122, 1123, 1211, 1212, 1221, 1222, 1223, 1231, 1232, 1233, 1234, 11111, 11112, 11121, 11122, 11123, 11211, 11212, 11221, 11222, 11223, 11231, 11232, 11233, 11234, 12111, 12112, 12121
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OFFSET
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1,2
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LINKS
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MAPLE
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R[1]:= [1]:
for d from 2 to 6 do
R[d]:= map(t -> seq(10*t+j, j=1..min((t mod 10)+1, 9)), R[d-1])
od:
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MATHEMATICA
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desQ[n_]:=Module[{idn=IntegerDigits[n]}, idn[[1]]==1&&FreeQ[idn, 0]&&Max[ Differences[ idn]]<2]; Select[Range[13000], desQ] (* Harvey P. Dale, Feb 19 2017 *)
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CROSSREFS
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Essentially the same as A071157 but with digits reversed.
Corresponding Łukasiewicz words: A071153.
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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