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!)
A340374 a(n) = 1 if the odd part of n satisfies Korselt's criterion (is in A324050), 0 otherwise. 2

%I #5 Jan 07 2021 08:37:29

%S 1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,

%T 0,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,

%U 0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0

%N a(n) = 1 if the odd part of n satisfies Korselt's criterion (is in A324050), 0 otherwise.

%H Antti Karttunen, <a href="/A340374/b340374.txt">Table of n, a(n) for n = 1..65537</a>

%H <a href="/index/Ch#char_fns">Index entries for characteristic functions</a>

%F a(n) = [A002322(A000265(n)) divides A000265(n)-1], where [ ] is the Iverson bracket.

%o (PARI)

%o A000265(n) = (n>>valuation(n,2));

%o A002322(n) = lcm(znstar(n)[2]); \\ From A002322

%o isA324050(n) = (0==((n-1)%A002322(n)));

%o A340374(n) = isA324050(A000265(n));

%Y Cf. A000265, A002322, A002997, A324050.

%Y Differs from A340371 for the first time at n=561, where a(561) = 1.

%K nonn

%O 1

%A _Antti Karttunen_, Jan 06 2021

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 April 23 23:26 EDT 2024. Contains 371917 sequences. (Running on oeis4.)