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A043096 Numbers in which every pair of adjacent digits are distinct. 56
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 67, 68, 69 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Superset of A010784. - R. J. Mathar, Oct 20 2008

Complement of A171901; A196368(a(n)) = 1. - Reinhard Zumkeller, Oct 28 2001

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

EXAMPLE

11 is the first number not in the sequence, since it has a pair of identical adjacent digits.

MATHEMATICA

t={}; Do[If[!MemberQ[Differences[IntegerDigits[n]], 0], AppendTo[t, n]], {n, 0, 69}]; t (* Jayanta Basu, May 04 2013 *)

PROG

(Haskell)

import Data.List (elemIndices)

a043096 n = a043096_list !! n

a043096_list = elemIndices 1 a196368_list

-- Reinhard Zumkeller, Oct 28 2001

(PARI) is(n)=my(v=digits(n)); for(i=2, #v, if(v[i]==v[i-1], return(0))); 1 \\ Charles R Greathouse IV, Sep 17 2012

(Python)

def ok(n): s = str(n); return all(s[i] != s[i+1] for i in range(len(s)-1))

print(list(filter(ok, range(70)))) # Michael S. Branicky, Aug 22 2021

CROSSREFS

Cf. A010784, A171901, A196368.

Sequence in context: A167520 A051882 A136002 * A160542 A059543 A241158

Adjacent sequences:  A043093 A043094 A043095 * A043097 A043098 A043099

KEYWORD

nonn,base

AUTHOR

Clark Kimberling

EXTENSIONS

Offset corrected by Reinhard Zumkeller, Oct 28 2011

STATUS

approved

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Last modified May 19 12:20 EDT 2022. Contains 353833 sequences. (Running on oeis4.)