A028684 Pseudo Galois numbers for d=22.

1, 462, 108002664, 12244181663697984, 671907296255880840847211520, 17845802448787704188422900898268569763840, 229407835408995110669430829173445733902175228551055278080, 1427334550066488576237160094041582026191840875706260743124583853079375380480

Offset: 0

Author

Olivier Gérard

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..27

Crossrefs

Cf. A028668, A028670, A028671, A028672, A028674, A028676, A028677, A028678, A028680, A028682, A028683, A028686.

Programs

Mathematica

FoldList[ #1*22^#2 (22^#2-1)&, 1, Range[ 20 ] ]
a[n_] := 22^n * Product[22^n - 22^k, {k, 0, n-1}]; Array[a, 8, 0] (* Amiram Eldar, Jul 14 2025 *)

PARI

a(n) = 22^n * prod(k = 0, n-1, 22^n - 22^k); \\ Amiram Eldar, Jul 14 2025

Formula

a(n) = 22^n * Product_{k=0..n-1} (22^n - 22^k).

a(n) ~ c * 22^(n^2+n), where c = Product_{k>=1} (1 - 1/22^k) = 0.952479533281... . - Amiram Eldar, Jul 14 2025