OFFSET
1,2
COMMENTS
Conjecture: Terms contain only two types of digits, i.e., 0 and 1.
Beginning with a(3), sequence follows a regular pattern: 10^2+1, 10^2+10, 10^3+1, 10^3+10, etc. until at a(21) the pattern is disrupted by 10^11+1, which is not squarefree (see A086982). 10^12+10 is also absent from the sequence since it is also not squarefree. The pattern resumes after this disruption until the next occurrence of 10^k+1 which is not squarefree, k=21, 33, 39, 55, ... The conjecture that the sequence is composed of terms containing only the digits 0 and 1 is certainly true up to 10^406+1 where both it and 10^407+1 are not squarefree. Indeed beginning with a(3) the terms contain exactly two 1 digits and the rest 0's up to this point. The term following 10^406+10 will introduce a third nonzero digit, perhaps a 1, but the pattern of the sequence changes dramatically at this point. - Ray Chandler, Aug 02 2003
Term following a(739)=10^406+10 is a(740)=10^407+11 so the conjecture is still in play. - Ray Chandler, Aug 05 2003
CROSSREFS
KEYWORD
base,nonn
AUTHOR
Amarnath Murthy, Nov 19 2002
EXTENSIONS
More terms from Ray Chandler, Aug 02 2003
Offset corrected by Mohammed Yaseen, Aug 16 2023
STATUS
approved