A324107 Fixed points of A324106, where A324106 is a multiplicative function with A324106(p^e) = A005940(p^e).

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 63, 64, 80, 96, 120, 126, 128, 160, 192, 240, 252, 256, 315, 320, 384, 480, 504, 512, 630, 640, 768, 960, 1008, 1024, 1260, 1280, 1536, 1920, 2016, 2048, 2520, 2560, 3072, 3840, 4032, 4096, 5040, 5120, 6144, 7680, 8064, 8192, 10080, 10240, 12288, 15360, 16128, 16384

Offset

1,2

Comments

Numbers n such that A324106(n) = n.

Links

Table of n, a(n) for n=1..66.

Example

For n = 63 = 3^2 * 7^1, we find that A005940(9) = 7 and A005940(7) = 9, thus A324106(63) = 7*9 = 63, and 63 is a member of this sequence.

Prog

(PARI)
A005940(n) = { my(p=2, t=1); n--; until(!n\=2, if((n%2), (t*=p), p=nextprime(p+1))); t }; \\ From A005940
A324106(n) = { my(f=factor(n)); prod(i=1, #f~, A005940(f[i, 1]^f[i, 2])); };
isA324107(n) = (n==A324106(n));
for(n=1, 16384, if(isA324107(n), print1(n, ", ")))

Crossrefs

Cf. A005940, A070776, A324106, A324109.

Cf. A029747 (a subsequence).

Sequence in context: A303704 A067939 A067784 * A018744 A018478 A018350

Adjacent sequences: A324104 A324105 A324106 * A324108 A324109 A324110

Keyword

nonn

Author

Antti Karttunen, Feb 15 2019

Status

approved