A110085 Numbers n such that sigma(n) - phi(n) < tau(n)^omega(n), where sigma=A000203, phi=A000010, tau=A000005 and omega=A001221.

1, 6, 10, 12, 18, 20, 24, 30, 36, 42, 60, 66, 70, 78, 84, 90, 102, 105, 110, 114, 120, 126, 130, 132, 138, 140, 150, 154, 156, 165, 168, 170, 174, 180, 182, 186, 190, 195, 198, 204, 210, 220, 222, 228, 230, 231, 234, 238, 240, 246, 252, 255, 258, 260, 264, 266

Offset

1,2

Comments

A051612(a(n)) < A110088(a(n)); intersection of A018252 and A110086.

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

Prog

(PARI) is(n)=sigma(n)-eulerphi(n)<numdiv(n)^omega(n) \\ Charles R Greathouse IV, Feb 14 2013
(Haskell)
a110085 n = a110085_list !! (n-1)
a110085_list = filter (\x -> a051612 x < a110088 x) [1..]
-- Reinhard Zumkeller, Aug 05 2014

Crossrefs

Cf. A110087.

Sequence in context: A242100 A125592 A292431 * A315126 A315127 A231567

Adjacent sequences: A110082 A110083 A110084 * A110086 A110087 A110088

Keyword

nonn

Author

Reinhard Zumkeller, Jul 11 2005

Status

approved