A028676 Pseudo Galois numbers for d=14.

1, 182, 6956040, 52356666223680, 77265383687862143155200, 22349330345043106156640015717990400, 1267070807948330368930015476714098504169160704000, 14079699332820783408928640305225880493640569562642424631656448000

Offset: 0

Author

Olivier Gérard

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..29

Crossrefs

Cf. A028668, A028670, A028671, A028672, A028674, A028677, A028678, A028680, A028682, A028683, A028684, A028686.

Programs

Mathematica

FoldList[ #1*14^#2 (14^#2-1)&, 1, Range[ 20 ] ]
a[n_] := 14^n * Product[14^n - 14^k, {k, 0, n-1}]; Array[a, 8, 0] (* Amiram Eldar, Jul 13 2025 *)

PARI

a(n) = 14^n * prod(k = 0, n-1, 14^n - 14^k); \\ Amiram Eldar, Jul 13 2025

Formula

a(n) = 14^n * Product_{k=0..n-1} (14^n - 14^k).

a(n) ~ c * 14^(n^2+n), where c = Product_{k>=1} (1 - 1/14^k) = 0.923471256585... . - Amiram Eldar, Jul 13 2025