A054659 Increasing sequence with no repeating digits and no digits shared with previous term.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 23, 40, 51, 60, 71, 80, 91, 203, 415, 602, 713, 802, 913, 2045, 3167, 4025, 6137, 8024, 9135, 20467, 31589, 40267, 51389, 60247, 81359

Offset

1,3

Comments

a(11)=23 since a(10)=10 and any number from 11 to 21 would share a digit between the two terms while 22 has a repeated digit

Links

Table of n, a(n) for n=1..36.

Prog

(Python)
def ok(s, t): return len(set(t)) == len(t) and len(set(s+t)) == len(s+t)
def agen(): # generator of complete sequence of terms
    an, MAX = 0, 987654321
    while True:
        if an < MAX: yield an
        else: return
        an, s = an+1, str(an)
        MAX = 10**(10-len(s))
        while an < MAX and not ok(s, str(an)): an += 1
print(list(agen())) # Michael S. Branicky, Jun 30 2022

Crossrefs

Cf. A030283.

Sequence in context: A276766 A331215 A039229 * A331989 A120125 A345227

Adjacent sequences: A054656 A054657 A054658 * A054660 A054661 A054662

Keyword

nonn,base,easy,fini,full

Author

Henry Bottomley, Apr 18 2000

Status

approved