A395182 - OEIS

%I #29 May 03 2026 00:53:55

%S 3,29928,100488,259080,502680,597528,619368,896808,1708248,2093808,

%T 2493240,2601768,2647128,3485688,4798248,5508408,6086088,7252248,

%U 10936248,11648568,12581208,14462808,15389928,16056048,18003048,18258264,20857488,21132408,21756744,22306728,22972848

%N Values of Jordan's totient function J_2 (A007434) which are not values of Euler's totient function (A000010).

%e 3 is a term since (2^2-1)*(2^2)^0 = 3 and 3 is not in A002202.

%e 29928 is a term since (173^2)*(173^2)^0 = 29928 and 29928 is not in A002202.

%e 4798248 is a term since (13^2-1)*(13^2)^2 = 4798248 and 4798248 is not in A002202.

%o (PARI) {A007434(n) = if( n<1, 0, direuler( p=2, n, (1 - X) / (1 - X*p^2))[n])};

%o lst(lim) = my(A=[]); for(k = 1, oo, if(#A>=lim, break); if(!istotient(A007434(k)), A = concat(A, A007434(k)))); A

%Y Cf. A000010, A002202, A007434, A395181.

%K nonn

%O 1,1

%A _Miles Englezou_, Apr 15 2026