A225930 Number of conjugacy classes in twisted Chevalley group 3D4(q) as q runs through the prime powers.

35, 126, 345, 786, 2806, 4685, 7386, 16110, 30946, 69909, 88746, 137566, 292566, 406906, 551886, 732546, 954310, 1082405, 1926226, 2896410, 3500206, 4985766, 5884906, 8042226, 12326286, 14076610, 17043525, 20456446, 25774710, 28792666, 39449446, 43584810, 48037086

Offset

1,1

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Eric M. Schmidt)

Frank Luebeck, Numbers of Conjugacy Classes in Finite Groups of Lie Type.

Formula

Let q be the n-th prime power. Then, a(n) = q^4 + q^3 + q^2 + q + c, where c = 5 if q is even and c = 6 if q is odd.

Mathematica

Map[(#^2 + 1)*(# + 1)*# + 5 + Mod[#, 2] &, Select[Range[100], PrimePowerQ]] (* Paolo Xausa, Jan 16 2025 *)

Prog

(PARI) apply(x->(x^4 + x^3 + x^2 + x + 5 + (x%2)), select(isprimepower, [1..100])) \\ Michel Marcus, Jan 16 2025

Crossrefs

Cf. A000961 (without 1), A188161, A224790, A225928-A225938.

Sequence in context: A098218 A247679 A344013 * A209370 A219717 A220481

Adjacent sequences: A225927 A225928 A225929 * A225931 A225932 A225933

Keyword

nonn

Author

Eric M. Schmidt, May 21 2013

Status

approved