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.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 23, 34, 45, 56, 67, 78, 89, 90, 123, 234, 345, 456, 567, 678, 789, 890, 901, 1234, 2345, 3456, 4567, 5678, 6789, 7890, 8901, 9012, 12345, 23456, 34567, 45678, 56789, 67890, 78901, 89012, 90123, 123456, 234567, 345678, 456789

Offset: 1

Author

Thomas Schulze (jazariel(AT)tiscalenet.it), Feb 12 2001

Keywords

• easy
• nonn
• base

Comments

Numbers that are contiguous substrings of those in A062273. - Michael S. Branicky, May 26 2022

Links

• Michael S. Branicky, Table of n, a(n) for n = 1..9001

Crossrefs

Cf. A161760, A006055, A062273.

Programs

Python

def ok(n):
    s = str(n)
    return s == "".join(str((int(s[0])+i)%10) for i in range(len(s)))
print([k for k in range(10**6) if ok(k)]) # Michael S. Branicky, May 26 2022

Python

from itertools import count, islice
def agen(): # generator of terms
    yield 0
    for d in count(1):
        for s0 in range(1, 10):
            yield int("".join(str((s0+i)%10) for i in range(d)))
print(list(islice(agen(), 50))) # Michael S. Branicky, May 26 2022

Extensions

More terms from Brian DiCesare (bdicesar(AT)ashland.edu), Oct 11 2004

a(1) = 0 inserted by Michael S. Branicky, May 26 2022