login
A283868
For all n, the set including the terms {a(1), a(2), a(3), ..., a(n)} has a nonprime number of digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
1
1, 2, 3, 4, 5, 6, 7, 8, 9, 111, 11, 101, 222, 22, 122, 12, 112, 333, 33, 444, 44, 555, 55, 666, 66, 777, 77, 888, 88, 999, 99, 1111, 1122, 1133, 13, 31, 1144, 14, 41, 133, 144, 1155, 115, 15, 155, 166, 16, 116, 177, 17, 117, 1166, 188, 18, 118, 199, 19, 91, 212, 121, 21, 221, 313, 223, 23, 233, 331, 113, 131, 414, 114, 224
OFFSET
1,2
COMMENTS
The sequence is started with a(1) = 1 and always extended with the smallest integer not yet present and not leading to a contradiction.
LINKS
EXAMPLE
The set consisting of the first 15 terms is {1,2,3,4,5,6,7,8,9,111,11,101,222,22,122}; we count one 0, nine 1's, eight 2's, one 3, one 4, one 5, etc. All those quantities of digits are nonprime numbers.
CROSSREFS
Sequence in context: A181352 A056143 A106003 * A087995 A082232 A117228
KEYWORD
nonn,base
AUTHOR
STATUS
approved