28 is the second perfect number A000396(2) and 7 is the second Mersenne prime A000668(2). For the structure of this sequence and its representation in base 2, see A135652. - Omar E. Pol (info(AT)polprimos.com), Mar 03 2008
FORMULA
a(n) = A161713(n-1). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 21 2009]