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

1,3

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

Prog

(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

Crossrefs

Cf. A161760, A006055, A062273.

Sequence in context: A288528 A352927 A200372 * A259236 A138141 A228017

Adjacent sequences: A059040 A059041 A059042 * A059044 A059045 A059046

Keyword

easy,nonn,base

Author

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

Extensions

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

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

Status

approved