OFFSET
1,2
COMMENTS
I do not know how many of these terms have been proved to be correct. - N. J. A. Sloane
In particular, are the powers of 10 the only n with a(n) = 0?
Note that a(10n) = a(n) unless n^a(n) contains no 0 (i.e., a(n) = A020665(n)), in which case a(10n) < a(n). - Christopher J. Smyth, Aug 20 2014
From Robert G. Wilson v, Aug 22 2021: (Start)
Conjectured first occurrence of k for k >= 0: 1, 156224, 22148, 7342, 3376, 861, 609, 477, 295, 152, 153, 149, 138, 69, 139, 47, 49, 38, 32, 42, 43, 67, 92, 24, 22, 18, 61, 17, 27, 21, 53, 26, 36, 56, 14, 190, 271, 13, 110, 45, ?40?, 11, 16, ?43?, 19, 29, ..., .
Other integers which satisfy a(n) = 0 are 1023458769, 1023458967, 1023467895, 1023469875, 1023475986, 1023478695, .... These are all members of A171102.
(End)
FORMULA
a(n^e) <= a(n)/e. - Robert G. Wilson v, Oct 02 2021
EXAMPLE
a(11) = 41 as 11^41 = 4978518112499354698647829163838661251242411 is the conjectural highest power of 11 not containing all ten digits.
a(110) = 38 as 110^38 does not contain the digit 2, while, conjecturally, all higher powers of 110 contain all ten digits. - Christopher J. Smyth, Aug 20 2014
CROSSREFS
KEYWORD
base,nonn
AUTHOR
Robert G. Wilson v, Jun 24 2001
EXTENSIONS
Definition corrected by Christopher J. Smyth, Aug 20 2014.
STATUS
approved