A048167 Integer quotients of numbers k divisible by the number of unitary divisors of k (A034444).

1, 1, 2, 4, 3, 8, 5, 6, 7, 16, 9, 10, 11, 12, 13, 14, 32, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 15, 31, 64, 34, 36, 37, 38, 40, 41, 21, 43, 44, 46, 47, 48, 49, 50, 52, 53, 54, 56, 58, 59, 30, 61, 62, 128, 33, 67, 68, 35, 71, 72, 73, 74, 76, 39, 79, 80, 81, 82, 83, 42

Offset: 1

Author

Labos Elemer

Keywords

• nonn

Examples

			1008 = 2*2*2*3*3*7 has 8 unitary divisors {1,1008,7,144,9,112,16,63}, 8 divides 1008 and the quotient is 126, a term in the sequence.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A034444, A036762, A000005, A048166.

Programs

Mathematica

f[n_] := n / 2^PrimeNu[n]; f /@ Select[Range[340], IntegerQ[f[#]] &] (* Amiram Eldar, Jul 16 2019 *)

Formula

a(n) = A048166(n)/A034444(A048166(n)). - Amiram Eldar, Jul 16 2019