A324577 - OEIS

%I #6 Mar 09 2019 19:23:31

%S 2,6,36,30,120,300,3600,15000,210,672,1260,42000,2940,28224,88200,

%T 164640,288120,4609920,216090000,21176820,564715200,2310,11880,18480,

%U 4435200,19404000,66555720,44370480000,50820,1306800,2845920,63748608,5856903360,328703760,306790176000,12298440,7906140000,645668100,33746919360,15874550866944

%N a(n) = A025487(n) *  A324576(n) = A025487(n) * A276086(A025487(n)).

%C Note that A324198(A025487(n)) = gcd(A025487(n), A324576(n)) = 1 for all n, because each term of A025487 is a product of primorials.

%H Antti Karttunen, <a href="/A324577/b324577.txt">Table of n, a(n) for n = 1..10001</a>

%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) = A025487(n) *  A324576(n) = A025487(n) * A276086(A025487(n)).

%F a(n) = A324580(A025487(n)).

%o (PARI)

%o A276086(n) = { my(i=0,m=1,pr=1,nextpr); while((n>0),i=i+1; nextpr = prime(i)*pr; if((n%nextpr),m*=(prime(i)^((n%nextpr)/pr));n-=(n%nextpr));pr=nextpr); m; };

%o A324577(n) = A025487(n)*A276086(A025487(n));

%Y Cf. A025487, A276086, A324198, A324576, A324579, A324580.

%Y Cf. also A324582 (a subsequence).

%K nonn

%O 1,1

%A _Antti Karttunen_, Mar 09 2019