%N Even numbers n (written in binary) such that in base 2 lunar arithmetic, the sum of the divisors of n is a number containing a 0 (in binary).
%C As remarked in A188548, if n is even then most of the time A188548(n) = 111...111 that is, a number of the form 2^k-1). This sequence lists the exceptions.
%H D. Applegate, M. LeBrun and N. J. A. Sloane, <a href="http://arxiv.org/abs/1107.1130">Dismal Arithmetic</a> [Note: we have now changed the name from "dismal arithmetic" to "lunar arithmetic" - the old name was too depressing]
%H D. Applegate, M. LeBrun, N. J. A. Sloane, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL14/Sloane/carry2.html">Dismal Arithmetic</a>, J. Int. Seq. 14 (2011) # 11.9.8.
%H <a href="/index/Di#dismal">Index entries for sequences related to dismal (or lunar) arithmetic</a>
%e In base 2 lunar arithmetic, the divisors of 10010 are 1, 10, 1001 and 10010, whose sum is 11011.
%Y Cf. A188548, A067399. See A190150 and A190151 for the base-10 representation of these numbers.
%A _N. J. A. Sloane_, May 05 2011