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!)
A346093 a(n) = A276085(A328571(A108951(n))). 6

%I #5 Jul 09 2021 22:16:37

%S 1,2,6,2,30,6,210,8,36,30,2310,6,30030,210,30,8,510510,36,9699690,30,

%T 210,2310,223092870,36,240,30030,216,210,6469693230,240,200560490130,

%U 32,2310,510510,2520,36,7420738134810,9699690,30030,240,304250263527210,2520,13082761331670030,2310,240,223092870,614889782588491410,36,32550

%N a(n) = A276085(A328571(A108951(n))).

%H <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>

%H <a href="/index/Pri#primorial_numbers">Index entries for sequences related to primorial numbers</a>

%F a(n) = A276085(A346091(n)) = A276085(A328571(A108951(n))).

%F a(n) = A108951(n) - A346092(n).

%o (PARI)

%o A002110(n) = prod(i=1,n,prime(i));

%o A108951(n) = { my(f=factor(n)); prod(i=1, #f~, A002110(primepi(f[i, 1]))^f[i, 2]) };

%o A276085(n) = { my(f = factor(n)); sum(k=1, #f~, f[k, 2]*A002110(primepi(f[k, 1])-1)); };

%o A328571(n) = { my(m=1, p=2); while(n, m *= (p^!!(n%p)); n = n\p; p = nextprime(1+p)); (m); };

%o A346093(n) = A276085(A328571(A108951(n)));

%Y Cf. A002110, A108951, A276085, A328571, A346091, A346092.

%K nonn

%O 1,2

%A _Antti Karttunen_, Jul 09 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 August 14 16:54 EDT 2024. Contains 375166 sequences. (Running on oeis4.)