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A324107 Fixed points of A324106, where A324106 is a multiplicative function with A324106(p^e) = A005940(p^e). 2

%I #11 Feb 16 2019 20:39:00

%S 1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,63,64,80,96,120,126,

%T 128,160,192,240,252,256,315,320,384,480,504,512,630,640,768,960,1008,

%U 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

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

%C Numbers n such that A324106(n) = n.

%e 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.

%o (PARI)

%o A005940(n) = { my(p=2, t=1); n--; until(!n\=2, if((n%2), (t*=p), p=nextprime(p+1))); t }; \\ From A005940

%o A324106(n) = { my(f=factor(n)); prod(i=1, #f~, A005940(f[i,1]^f[i,2])); };

%o isA324107(n) = (n==A324106(n));

%o for(n=1,16384,if(isA324107(n), print1(n,", ")))

%Y Cf. A005940, A070776, A324106, A324109.

%Y Cf. A029747 (a subsequence).

%K nonn

%O 1,2

%A _Antti Karttunen_, Feb 15 2019

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Last modified April 25 11:21 EDT 2024. Contains 371967 sequences. (Running on oeis4.)