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A361978
Complement of A361337.
2
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
Subsequence of A052382.
Sequence in context: A229300 A229301 A277061 * A090274 A254621 A227510
KEYWORD
nonn,base
AUTHOR
Michael S. Branicky, Apr 02 2023
STATUS
approved