A071159 - OEIS

A071159

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.

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

1,2

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

S. Giraudo, Combinatorial operads from monoids, arXiv preprint arXiv:1306.6938 [math.CO], 2013-2015. See Sect. 3.1.3.

MAPLE

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:

A:= map(op, [seq(R[d], d=1..6)]); # Robert Israel, Jan 31 2017

MATHEMATICA

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 *)

CROSSREFS

Essentially the same as A071157 but with digits reversed.

Corresponding Łukasiewicz words: A071153.

Sequence in context: A153070 A193023 A278985 * A231873 A096299 A110382

Adjacent sequences: A071156 A071157 A071158 * A071160 A071161 A071162

KEYWORD

nonn,base

AUTHOR

Antti Karttunen, May 14 2002

STATUS

approved