A028670 Pseudo Galois numbers for d=8; order of group AGL(n,2^3).

1, 56, 225792, 59074412544, 990862210530017280, 1063897728694258113372487680, 73110216322082119251081045710796226560, 321541978498155599038038914825594113520368216965120, 90506015514687373224170805357005639908589558859612764874001612800

Offset: 0

Author

Olivier Gérard

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..33

Crossrefs

Cf. A028668, A028671, A028672, A028674, A028676, A028677, A028678, A028680, A028682, A028683, A028684, A028686.

Cf. A132036.

Programs

Mathematica

FoldList[ #1*8^#2 (8^#2-1)&, 1, Range[ 20 ] ]
a[n_] := 8^n * Product[8^n - 8^k, {k, 0, n-1}]; Array[a, 9, 0] (* Amiram Eldar, Jul 13 2025 *)

PARI

a(n) = 8^n * prod(k = 0, n-1, 8^n - 8^k); \\ Amiram Eldar, Jul 13 2025

Formula

a(n) = 8^n * Product_{k=0..n-1} (8^n - 8^k).

a(n) ~ c * 8^(n^2+n), where c = A132036. - Amiram Eldar, Jul 13 2025