a(n) is the conductor of extension of Q generated by character values of the n-th alternating group A_n; the smallest m such that the extension is a subfield of the m-th cyclotomic field Q(zeta_m).

A376940

a(n) is the conductor of extension of Q generated by character values of the n-th alternating group A_n; the smallest m such that the extension is a subfield of the m-th cyclotomic field Q(zeta_m).

Terms

    a(0) =1a(1) =1a(2) =3a(3) =3a(4) =5a(5) =5a(6) =7a(7) =105a(8) =15a(9) =21a(10) =231a(11) =1155a(12) =1365a(13) =2145a(14) =1155a(15) =15015a(16) =255255a(17) =255255a(18) =285285a(19) =4849845a(20) =255255a(21) =4849845a(22) =111546435a(23) =111546435a(24) =4849845a(25) =111546435a(26) =111546435a(27) =111546435a(28) =3234846615a(29) =3234846615

External references