Least number k such that between k! and (k+1)! there are n powers of 2 (each interval includes (k+1)! but not k!).

A084321

Least number k such that between k! and (k+1)! there are n powers of 2 (each interval includes (k+1)! but not k!).

Terms

    a(0) =1a(1) =3a(2) =5a(3) =10a(4) =19a(5) =35a(6) =64a(7) =139a(8) =256a(9) =536a(10) =1061a(11) =2095a(12) =4169a(13) =8282a(14) =16517a(15) =32903a(16) =65646a(17) =131205a(18) =262579a(19) =525083a(20) =1048893a(21) =2098826a(22) =4195521a(23) =8390583a(24) =16782032a(25) =33560609a(26) =67118347a(27) =134229613a(28) =268453180a(29) =536890474

External references