OFFSET
1,1
COMMENTS
Conjecturally all a(n)>0.
Since d(a(n)+2^n) = 2^n, where d(n) is the number of divisors of n, and d(a(n)+d(a(n)+2^n)) = d(a(n)), then it is a subsequence of sequence A175304.
EXAMPLE
For n=3,...,8, we have the following numbers M, B=M+2^n and their prime divisors:
70 = 2 5 7; 78 = 2 3 13.
2030 = 2 5 7 29; 2046 = 2 3 11 31.
42978 = 2 3 13 19 29; 43010 = 2 5 11 17 23.
1788710 = 2 5 7 11 23 101; 1788774 = 2 3 13 17 19 71.
63905142 = 2 3 7 17 37 41 59; 63905270 = 2 5 11 13 23 29 67.
5705962314 = 2 3 13 17 19 23 43 229; 5705962570 = 2 5 7 11 29 59 61 71.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Vladimir Shevelev and Peter J. C. Moses, Feb 07 2017
EXTENSIONS
a(9)-a(10) from Giovanni Resta, Feb 28 2017
STATUS
approved