A028675 Galois numbers for p=13; order of group AGL(n,13).

1, 156, 4429152, 21368939889024, 17430690424387037091840, 2402962221899462961810522363863040, 55984406793280086114756507719510983331312762880, 220431677762305366198023742325712037545142450383991425548943360

Offset: 0

Author

Olivier Gérard

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..29
• Index entries for sequences related to groups.

Crossrefs

Cf. A028365, A028665, A028667, A028669, A028673, A028679, A028681, A028685.

Programs

Mathematica

FoldList[ #1*13^#2 (13^#2-1)&, 1, Range[ 20 ] ]
a[n_] := 13^n * Product[13^n - 13^k, {k, 0, n-1}]; Array[a, 10, 0] (* Amiram Eldar, Jul 12 2025 *)

PARI

a(n) = 13^n * prod(k = 0, n-1, 13^n - 13^k); \\ Amiram Eldar, Jul 12 2025

Formula

a(n) = 13^n * Product_{k=0..n-1} (13^n - 13^k).

a(n) ~ c * 13^(n^2+n), where c = Product_{k>=1} (1 - 1/13^k) = 0.9171624725409... . - Amiram Eldar, Jul 12 2025