A045514 Number of conjugacy classes of elements of order n in E_8(C).

0, 1, 2, 4, 7, 14, 20, 38, 53, 85, 118, 186, 236, 363, 464, 651, 839, 1172, 1433, 1975, 2408, 3175, 3892, 5082, 6034, 7810, 9293, 11682, 13854, 17341, 20146, 25079, 29129, 35476, 41182, 49892, 57093, 68969, 78778, 93660, 106807, 126671, 142855, 168794, 190171

Offset

0,3

Links

Table of n, a(n) for n=0..44.

Arjeh M. Cohen and Robert L. Griess Jr., On finite simple subgroups of the complex Lie group of type E_8, The Arcata Conference on Representations of Finite Groups (Arcata, Calif., 1986), 367-405, Proc. Sympos. Pure Math., 47, Part 2, Amer. Math. Soc., Providence, RI, 1987.

Formula

a(n) = Sum_{d|n} mu(n/d) * [x^d] b(x), n > 0, where b(x) is the g.f. for A045513. - Sean A. Irvine, Mar 12 2021

Crossrefs

Cf. A045513.

Sequence in context: A280430 A108329 A057264 * A102957 A216898 A176450

Adjacent sequences: A045511 A045512 A045513 * A045515 A045516 A045517

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Mar 12 2021

Status

approved