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A300573 Numbers k such that k and the sum of proper divisors of k have the same prime signature. 2
1, 6, 9, 14, 22, 28, 30, 33, 38, 46, 51, 62, 66, 84, 86, 87, 91, 92, 93, 102, 118, 132, 141, 142, 145, 158, 159, 166, 168, 170, 174, 182, 183, 188, 190, 206, 217, 219, 246, 247, 248, 249, 253, 262, 264, 267, 278, 280, 285, 295, 301, 308, 310, 316, 321, 326 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000

FORMULA

{ k | A046523(k) = A046523(A001065(k)) }.

MAPLE

s:= n-> sort(map(i-> i[2], ifactors(n)[2])):

a:= proc(n) option remember; local k; for k from 1+

      a(n-1) while s(k)<>s(numtheory[sigma](k)-k) do od; k

    end: a(0):=0:

seq(a(n), n=1..80);

CROSSREFS

Cf. A001065, A008578, A046523, A300216, A300572.

Sequence in context: A316049 A316019 A316020 * A020717 A196993 A303162

Adjacent sequences:  A300570 A300571 A300572 * A300574 A300575 A300576

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Mar 08 2018

STATUS

approved

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Last modified September 17 12:00 EDT 2021. Contains 347477 sequences. (Running on oeis4.)