A282868 For all n's, the set including the terms {a(1), a(2), a(3),... a(n)} has a prime number of digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

11, 1, 22, 2, 33, 3, 44, 4, 55, 5, 66, 6, 77, 7, 88, 8, 99, 9, 1001, 0, 1010, 1111, 1100, 2222, 3333, 4444, 5555, 6666, 7777, 8888, 9999, 111111, 222222, 333333, 444444, 555555, 666666, 777777, 888888, 999999, 10000111, 200222, 200002, 202022, 11111111

Offset

1,1

Comments

The sequence is started with a(1) = 11 and always extended with the smallest integer not yet present and not leading to a contradiction.

Links

Giovanni Resta, Table of n, a(n) for n = 1..100

Example

The set made of the first 6 terms is {11,1,22,2,33,3}; we count three 1's, three 2's and three 3's.

Crossrefs

Sequence in context: A212488 A178243 A040131 * A013618 A014467 A174221

Adjacent sequences: A282865 A282866 A282867 * A282869 A282870 A282871

Keyword

nonn,base,more

Author

Eric Angelini and Jean-Marc Falcoz, Mar 17 2017

Extensions

Data corrected by Giovanni Resta, Mar 17 2017

Status

approved