A028673 Galois numbers for p=11; order of group AGL(n,11).

1, 110, 1597200, 2827411356000, 606039338269189440000, 15719002038355567350156912000000, 49332934203739383347738694321468865920000000, 18734172592683683919731709047397914403374452828934400000000, 860830165835516295815608223447061872667128267986790628055380728832000000000

Offset: 0

Author

Olivier Gérard

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..30
• Index entries for sequences related to groups.

Crossrefs

Cf. A028365, A028665, A028667, A028669, A028675, A028679, A028681, A028685.

Cf. A132267.

Programs

Mathematica

FoldList[ #1*11^#2 (11^#2-1)&, 1, Range[ 20 ] ]
a[n_] := 11^n * Product[11^n - 11^k, {k, 0, n-1}]; Array[a, 10, 0] (* Amiram Eldar, Jul 12 2025 *)

PARI

a(n) = 11^n * prod(k = 0, n-1, 11^n - 11^k); \\ Amiram Eldar, Jul 12 2025

Formula

a(n) = 11^n * Product_{k=0..n-1} (11^n - 11^k).

a(n) ~ c * 11^(n^2+n), where c = A132267. - Amiram Eldar, Jul 12 2025