A361978 Complement of A361337.

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 46, 47, 48, 49, 51, 53, 57, 61, 62, 63, 64, 66, 67, 68, 71, 72, 73, 74, 75, 76, 77, 79, 81, 82, 83, 84, 86, 88, 89, 91, 92, 93, 94, 97, 98, 99, 111, 112, 113, 114, 116

Offset

1,2

Comments

More than the usual number of terms are shown to distinguish the sequence from A034048.

Appears to be finite with 219 members, the largest being 3111.

Links

Michael S. Branicky, Table of n, a(n) for n = 1..219

Prog

(Python)
def ok(n):
    if n < 10: return n != 0
    s = str(n)
    if "0" in s: return False
    return all(ok(int(s[:i])*int(s[i:])) for i in range(1, len(s)))
print([k for k in range(117) if ok(k)]) # Michael S. Branicky, Apr 02 2023
(PARI) A361978=select( {is_A361978(n)=vecmin(digits(n))&& !for(p=1, logint(n, 10), is_A361978(vecprod(divrem(n, 10^p)))|| return)}, [1..10^5]) \\ Conjecturedly the full list: no terms between 3112 and 10^5. - M. F. Hasler, Apr 05 2023

Crossrefs

Cf. A034048, A011540, A361337, A277061.

Subsequence of A052382.

Sequence in context: A229300 A229301 A277061 * A090274 A254621 A227510

Adjacent sequences: A361975 A361976 A361977 * A361979 A361980 A361981

Keyword

nonn,base

Author

Michael S. Branicky, Apr 02 2023

Status

approved