login

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”).

A280967
Vampire numbers (definition 1) in binary: n has a nontrivial factorization using n's bits.
3
159, 175, 287, 303, 315, 318, 319, 343, 350, 351, 375, 567, 574, 575, 591, 603, 606, 623, 627, 630, 636, 638, 679, 686, 687, 699, 700, 702, 735, 750, 763, 765, 1127, 1134, 1135, 1148, 1150, 1167, 1179, 1182, 1183, 1203, 1206, 1212, 1215, 1239, 1243, 1246, 1247, 1251, 1254, 1260, 1271, 1272
OFFSET
1,1
COMMENTS
Nontrivial means that there must be at least two factors.
EXAMPLE
175 is a member as 175 = 7 * 25 = 10101111_2 = 111_2 * 11001_2
5887 is a member as 5887 = 7 * 29 * 29 = 1011011111111_2 = 111_2 * 11101_2 * 11101_2
CROSSREFS
Sequence in context: A303811 A207146 A045260 * A192173 A093472 A270304
KEYWORD
nonn,base
AUTHOR
Ely Golden, Jan 11 2017
STATUS
approved