login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A320017 a(1) = 1; for n > 1, a(n) = Product_{d|n} A019565(d)^[moebius(d) = +1]. 3

%I #6 Nov 08 2018 21:13:40

%S 1,2,2,2,2,30,2,2,2,42,2,30,2,210,420,2,2,30,2,42,220,330,2,30,2,462,

%T 2,210,2,132300,2,2,52,78,156,30,2,390,780,42,2,346500,2,330,420,2730,

%U 2,30,2,42,1716,462,2,30,8580,210,4004,6006,2,132300,2,30030,220,2,68,128700,2,78,340,343980,2,30,2,714,420,390,2380,2702700,2,42,2

%N a(1) = 1; for n > 1, a(n) = Product_{d|n} A019565(d)^[moebius(d) = +1].

%H Antti Karttunen, <a href="/A320017/b320017.txt">Table of n, a(n) for n = 1..8192</a>

%F a(1) = 1; for n > 1, a(n) = Product_{d|n} A019565(d)^[A008683(d) > 0].

%F For n >= 2, A048675(a(n)) = A318674(n).

%o (PARI)

%o A019565(n) = {my(j,v); factorback(Mat(vector(if(n, #n=vecextract(binary(n), "-1..1")), j, [prime(j), n[j]])~))}; \\ From A019565

%o A320017(n) = if(1==n,n,my(m=1); fordiv(n,d,if(1==moebius(d), m *= A019565(d))); (m));

%Y Cf. A019565, A320018 (rgs-transform).

%Y Cf. also A300831, A300832.

%K nonn

%O 1,2

%A _Antti Karttunen_, Nov 08 2018

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 1 04:42 EDT 2024. Contains 372148 sequences. (Running on oeis4.)