A380706 n is the a(n)-th nonnegative integer having its set of decimal digits.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 1, 1

Offset

0,12

Comments

Different from A326307.

Links

Alois P. Heinz, Table of n, a(n) for n = 0..65536

Example

a(101) = 3 because 101 is the 3rd nonnegative integer having its set of decimal digits: 10, 100, 101: {0,1}.

Maple

p:= proc() 0 end:
a:= proc(n) option remember; local t;
      t:= {convert(n, base, 10)[]}; p(t):= p(t)+1
    end:
seq(a(n), n=0..105);

Prog

(Python)
from collections import Counter
from itertools import count, islice
def agen(): # generator of terms
    digsetcount = Counter()
    for n in count(0):
        key = "".join(sorted(set(str(n))))
        digsetcount[key] += 1
        yield digsetcount[key]
print(list(islice(agen(), 106))) # Michael S. Branicky, Jan 30 2025

Crossrefs

Cf. A326307 (the same for multiset).

Sequence in context: A326307 A343639 A095827 * A193582 A091887 A144871

Adjacent sequences: A380703 A380704 A380705 * A380707 A380708 A380709

Keyword

nonn,look,base

Author

Alois P. Heinz, Jan 30 2025

Status

approved