A028678 Pseudo Galois numbers for d=16; order of group AGL(n,2^4).

1, 240, 15667200, 262787825664000, 1128647894950886768640000, 1240960300690310266540982796288000000, 349299250915794737048265419604885133559070720000000, 25169663526478361283103094344080671195753840937477514828185600000000

Offset: 0

Author

Olivier Gérard

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..28

Crossrefs

Cf. A028668, A028670, A028671, A028672, A028674, A028676, A028677, A028680, A028682, A028683, A028684, A028686.

Programs

Mathematica

FoldList[ #1*16^#2 (16^#2-1)&, 1, Range[ 20 ] ]
a[n_] := 16^n * Product[16^n - 16^k, {k, 0, n-1}]; Array[a, 8, 0] (* Amiram Eldar, Jul 13 2025 *)

PARI

a(n) = 16^n * prod(k = 0, n-1, 16^n - 16^k); \\ Amiram Eldar, Jul 13 2025

Formula

a(n) = 16^n * Product_{k=0..n-1} (16^n - 16^k).

a(n) ~ c * 16^(n^2+n), where c = Product_{k>=1} (1 - 1/16^k) = 0.933594707399... . - Amiram Eldar, Jul 13 2025