cp's OEIS Frontend

A059043 Numbers in which each digit is the (immediate) successor of the previous one (if it exists) and 0 is considered the successor of 9.

%I A059043 #12 May 26 2022 08:37:01
%S A059043 0,1,2,3,4,5,6,7,8,9,12,23,34,45,56,67,78,89,90,123,234,345,456,567,
%T A059043 678,789,890,901,1234,2345,3456,4567,5678,6789,7890,8901,9012,12345,
%U A059043 23456,34567,45678,56789,67890,78901,89012,90123,123456,234567,345678,456789
%N A059043 Numbers in which each digit is the (immediate) successor of the previous one (if it exists) and 0 is considered the successor of 9.
%C A059043 Numbers that are contiguous substrings of those in A062273. - _Michael S. Branicky_, May 26 2022
%H A059043 Michael S. Branicky, <a href="/A059043/b059043.txt">Table of n, a(n) for n = 1..9001</a>
%o A059043 (Python)
%o A059043 def ok(n):
%o A059043     s = str(n)
%o A059043     return s == "".join(str((int(s[0])+i)%10) for i in range(len(s)))
%o A059043 print([k for k in range(10**6) if ok(k)]) # _Michael S. Branicky_, May 26 2022
%o A059043 (Python)
%o A059043 from itertools import count, islice
%o A059043 def agen(): # generator of terms
%o A059043     yield 0
%o A059043     for d in count(1):
%o A059043         for s0 in range(1, 10):
%o A059043             yield int("".join(str((s0+i)%10) for i in range(d)))
%o A059043 print(list(islice(agen(), 50))) # _Michael S. Branicky_, May 26 2022
%Y A059043 Cf. A161760, A006055, A062273.
%K A059043 easy,nonn,base
%O A059043 1,3
%A A059043 Thomas Schulze (jazariel(AT)tiscalenet.it), Feb 12 2001
%E A059043 More terms from Brian DiCesare (bdicesar(AT)ashland.edu), Oct 11 2004
%E A059043 a(1) = 0 inserted by _Michael S. Branicky_, May 26 2022