login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A368999
Numbers k for which A342001(k) is odd.
6
2, 3, 5, 6, 7, 8, 10, 11, 13, 14, 17, 18, 19, 22, 23, 24, 26, 27, 29, 30, 31, 32, 34, 37, 38, 40, 41, 42, 43, 45, 46, 47, 50, 53, 54, 56, 58, 59, 61, 62, 63, 66, 67, 70, 71, 72, 73, 74, 75, 78, 79, 82, 83, 86, 88, 89, 90, 94, 96, 97, 98, 99, 101, 102, 103, 104, 105, 106, 107, 109, 110, 113, 114, 117, 118, 120, 122, 125
OFFSET
1,1
PROG
(PARI)
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A003557(n) = (n/factorback(factorint(n)[, 1]));
A342001(n) = (A003415(n) / A003557(n));
isA368999(n) = (A342001(n)%2);
CROSSREFS
Cf. A342001.
Positions of 0's in A368997. Cf. A368999 (complement).
Sequence in context: A072510 A084116 A137620 * A336487 A028765 A181807
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jan 14 2024
STATUS
approved