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!)
A331178 Number of values of k, 1 <= k <= n, with A023900(k) = A023900(n), where A023900 is Dirichlet inverse of Euler totient function phi. 3

%I #7 Jan 11 2020 21:50:44

%S 1,1,1,2,1,1,1,3,2,1,1,2,1,1,1,4,1,3,1,2,1,1,1,4,2,2,3,2,1,1,1,5,1,1,

%T 1,5,1,1,2,3,1,2,1,2,2,1,1,6,2,4,1,3,1,7,1,3,1,1,1,2,1,1,4,6,1,1,1,2,

%U 1,1,1,8,1,2,3,2,1,2,1,5,4,2,1,3,1,1,1,3,1,3,1,2,2,1,2,9,1,4,2,6,1,1,1,5,1

%N Number of values of k, 1 <= k <= n, with A023900(k) = A023900(n), where A023900 is Dirichlet inverse of Euler totient function phi.

%C Ordinal transform of A023900.

%H Antti Karttunen, <a href="/A331178/b331178.txt">Table of n, a(n) for n = 1..65537</a>

%o (PARI)

%o up_to = 65537;

%o ordinal_transform(invec) = { my(om = Map(), outvec = vector(length(invec)), pt); for(i=1, length(invec), if(mapisdefined(om,invec[i]), pt = mapget(om, invec[i]), pt = 0); outvec[i] = (1+pt); mapput(om,invec[i],(1+pt))); outvec; };

%o A023900(n) = factorback(apply(p -> 1-p, factor(n)[, 1]));

%o v331178 = ordinal_transform(vector(up_to, n, A023900(n)));

%o A331178(n) = v331178[n];

%Y Cf. A000010, A023900.

%Y Cf. also A081373, A331175, A331179, A331180.

%K nonn

%O 1,4

%A _Antti Karttunen_, Jan 11 2020

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 24 15:57 EDT 2024. Contains 371961 sequences. (Running on oeis4.)