OFFSET
1,2
COMMENTS
To extend to base 2 only numbers of the form 2^n-1 need to be considered, since all others have zero digits in base 2.
Tested up to 2^45 - 1 and found no term (other than 1) which doesn't contain zeros in one of the other bases 3 to 10.
Tested up to 2^50000 - 1 and found no such term. - Robert G. Wilson v
Several of these come in pairs such as 1 & 2, 22 & 23, 121 & 122, 157 & 158, 5818 & 5819, etc. See A085828. There is also a near-triple in 154534, 154537, 154538, 154543.
But no such triple can exist, since, given three consecutive numbers, one must be divisible by 3, which implies that it ends in a zero in base 3. - Robert G. Wilson v
LINKS
Chai Wah Wu, Table of n, a(n) for n = 1..10000
MATHEMATICA
f[n_] := Count[IntegerDigits[n, {3, 4, 5, 6, 7, 8, 9, 10}], 0, 2]; Select[ Range[351862], f[ # ] == 0 & ]
Select[Range[352000], FreeQ[Flatten[IntegerDigits[#, Range[3, 10]]], 0]&] (* Harvey P. Dale, Oct 16 2021 *)
CROSSREFS
KEYWORD
base,nonn
AUTHOR
Chuck Seggelin (barkeep(AT)plastereddragon.com), Jul 03 2003
EXTENSIONS
Edited and extended by Robert G. Wilson v, Jul 05 2003
STATUS
approved