OFFSET
1,1
COMMENTS
Numbers k for which A353802(k) = Product_{p^e||k} A051027(p^e) > A051027(k), i.e. numbers at which points A051027 is not multiplicative. The notation p^e||k means that p^e divides k, but p^(1+e) does not.
If x is present, then also multiples y*x are present for all y for which gcd(x,y) = 1.
Also numbers at which points A062401 and A353750 are not multiplicative. - Antti Karttunen, May 09 2022
LINKS
Antti Karttunen, Table of n, a(n) for n = 1..25000
FORMULA
{k | A336562(k) > 0}. - Antti Karttunen, May 09 2022
EXAMPLE
10 = 2*5 is present as sigma(2) = 3 and sigma(5) = 6, and 3 and 6 share a prime factor (gcd(3,6) = 3). Also we see that sigma(sigma(2))*sigma(sigma(5)) = 4*12 = 48 > sigma(sigma(10)) = 39.
PROG
(PARI) isA336548(n) = !A336546(n);
CROSSREFS
Subsequence of A024619.
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jul 25 2020
EXTENSIONS
The old definition moved to comments and replaced with a more generic, but equivalent definition by Antti Karttunen, May 09 2022
STATUS
approved