A028679 Galois numbers for p=17; order of group AGL(n,17).

1, 272, 22639104, 546341708980224, 3811101610741578352558080, 7683152190027081335646892427952783360, 4476375132477699824408564935442752007430598683525120, 753722313834315665863920705126825485467891025286555525186004419870720

Offset: 0

Author

Olivier Gérard

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..28
• Index entries for sequences related to groups.

Crossrefs

Cf. A028365, A028665, A028667, A028669, A028673, A028675, A028681, A028685.

Programs

Mathematica

FoldList[ #1*17^#2 (17^#2-1)&, 1, Range[ 20 ] ]
a[n_] := 17^n * Product[17^n - 17^k, {k, 0, n-1}]; Array[a, 10, 0] (* Amiram Eldar, Jul 12 2025 *)

PARI

a(n) = 17^n * prod(k = 0, n-1, 17^n - 17^k); \\ Amiram Eldar, Jul 12 2025

Formula

a(n) = 17^n * Product_{k=0..n-1} (17^n - 17^k).

a(n) ~ c * 17^(n^2+n), where c = Product_{k>=1} (1 - 1/17^k) = 0.937716969709... . - Amiram Eldar, Jul 12 2025