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A048167 Integer quotients of numbers k divisible by the number of unitary divisors of k (A034444). 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

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

FORMULA

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

EXAMPLE

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.

MATHEMATICA

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

CROSSREFS

Cf. A034444, A036762, A000005, A048166.

Sequence in context: A180246 A329146 A246367 * A207790 A305427 A269375

Adjacent sequences:  A048164 A048165 A048166 * A048168 A048169 A048170

KEYWORD

nonn

AUTHOR

Labos Elemer

STATUS

approved

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Last modified April 10 02:39 EDT 2020. Contains 333392 sequences. (Running on oeis4.)