OFFSET
1,1
COMMENTS
All terms are composite.
Indeed, if p is prime then d(p)=2 will never be larger than d(p+d(p)) = d(p+2). - M. F. Hasler, Jul 30 2015
Conjecture: for every x>=6, among the first x terms, the terms divisible by 3 are never in the minority.
Let A(y) be the number of terms <= y, y>=1. If the conjecture is true, then, taking into account the initials, we conclude that always A(y) < (2/3)*y. - Vladimir Shevelev, Jul 31 2015
LINKS
Peter J. C. Moses, Table of n, a(n) for n = 1..2000
EXAMPLE
75 is in the sequence, since d(75) = 6 > d(75+6) = 5.
PROG
(PARI) is(n)=numdiv(n+n=numdiv(n))<n \\ M. F. Hasler, Jul 30 2015
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Shevelev, Jul 29 2015
STATUS
approved