Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #25 Jan 27 2017 13:25:53
%S 159,175,287,303,315,318,319,343,350,351,375,567,574,575,591,603,606,
%T 623,627,630,636,638,679,686,687,699,700,702,735,750,763,765,1127,
%U 1134,1135,1148,1150,1167,1179,1182,1183,1203,1206,1212,1215,1239,1243,1246,1247,1251,1254,1260,1271,1272
%N Vampire numbers (definition 1) in binary: n has a nontrivial factorization using n's bits.
%C Nontrivial means that there must be at least two factors.
%H Ely Golden, <a href="/A280967/b280967.txt">Table of n, a(n) for n = 1..10000</a>
%H Ely Golden, <a href="/A280967/a280967_2.sagews.txt">General program for generating vampire number sequences</a>
%e 175 is a member as 175 = 7 * 25 = 10101111_2 = 111_2 * 11001_2
%e 5887 is a member as 5887 = 7 * 29 * 29 = 1011011111111_2 = 111_2 * 11101_2 * 11101_2
%Y Cf. A020342
%K nonn,base
%O 1,1
%A _Ely Golden_, Jan 11 2017