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A358215
Numbers k for which there is no prime p such that p^p divides the arithmetic derivative of k, A003415(k).
7
2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 17, 18, 19, 21, 22, 23, 25, 26, 29, 30, 31, 33, 34, 37, 38, 41, 42, 43, 45, 46, 47, 49, 50, 53, 57, 58, 59, 61, 62, 63, 65, 66, 67, 69, 70, 71, 73, 74, 75, 77, 78, 79, 82, 83, 85, 86, 89, 90, 93, 94, 97, 98, 99, 101, 102, 103, 105, 106, 107, 109, 110, 113, 114, 117, 118, 121, 122, 125
OFFSET
1,1
COMMENTS
Numbers k such that A003415(k) is in A048103.
LINKS
PROG
(PARI)
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A359550(n) = { my(f = factor(n)); prod(k=1, #f~, (f[k, 2]<f[k, 1])); };
A368915(n) = ((n>1)&&A359550(A003415(n)));
isA358215(n) = A368915(n);
CROSSREFS
Complement of {1} U A327929. Positions of 0's in A341996 (after the two initial zeros). Positions of 1's in A341997.
Subsequence of A048103.
Subsequences: A099308 (apart from its two initial terms), A328393, A358221.
Cf. A003415, A327934, A351088, A359550, A368915 (characteristic function).
Sequence in context: A376958 A248565 A065896 * A099308 A359544 A074235
KEYWORD
nonn
AUTHOR
Antti Karttunen, Nov 24 2022
STATUS
approved