A230105 Numbers n such that m + (product of digits of m) = n has exactly one solution m.

0, 2, 4, 6, 8, 22, 23, 24, 28, 29, 30, 32, 34, 35, 40, 41, 42, 44, 45, 46, 47, 54, 55, 56, 58, 65, 66, 67, 68, 75, 78, 81, 85, 88, 89, 90, 92, 94, 95, 101, 103, 105, 106, 108, 112, 114, 122, 124, 125, 128, 129, 132, 135, 141, 143, 144, 145, 146, 147, 152, 154, 155, 156, 158, 161, 165, 166, 167, 168, 175, 178, 181, 185

Offset: 1

Author

N. J. A. Sloane, Oct 13 2013

Keywords

• nonn
• base

Comments

Numbers n such that A230103(n) = 1.

Links

• Michael S. Branicky, Table of n, a(n) for n = 1..10000
• Index entries for Colombian or self numbers and related sequences

Crossrefs

Cf. A230099, A230103, A230104.

Programs

Python

from math import prod
from collections import Counter
def b(n): return n + prod(map(int, str(n)))
def aupto(n):
    c = Counter(b(m) for m in range(n+1))
    return [k for k in range(n+1) if c[k] == 1]
print(aupto(185)) # Michael S. Branicky, Jan 09 2023