OFFSET
1,1
COMMENTS
It appears that there are no more terms in this sequence.
If they exist, a(8) > 127231981 and a(9) > 107895940. - J.W.L. (Jan) Eerland, Nov 26 2022
If they exist, a(8)-a(15) > 10^13 and a(16) > 10^32; a(17) and beyond do not exist. - Michael S. Branicky, Apr 05 2024
FORMULA
a(n) <= a(n+1). - Michael S. Branicky, Apr 05 2024
EXAMPLE
2975^k, k = 1..7 = 2975, 8850625, 26330609375, 78333562890625, 233042349599609375, 693300990058837890625, 2062570445425042724609375 (all are oneless), while 2975^8 = 6136147075139502105712890625 has 5 ones.
MATHEMATICA
Table[{n, m=1; Monitor[Parallelize[While[True, If[Length[DeleteCases[Table[If[MemberQ[IntegerDigits[m^k], 1]==False, k, a], {k, 1, n}], a]]==n, Break[]]; m++]; m], m]}, {n, 1, 7}] (* J.W.L. (Jan) Eerland, Nov 26 2022 *)
PROG
(Python)
from itertools import count
def A275533(n): return next(m for m in count(1) if not any('1' in str(m**k) for k in range(1, n+1))) # Chai Wah Wu, Apr 04 2024
CROSSREFS
KEYWORD
nonn,base,more,fini
AUTHOR
Zak Seidov, Jul 31 2016
STATUS
approved