A028674 Pseudo Galois numbers for d=12.

1, 132, 2718144, 8111637540864, 3487687464241924669440, 215947547174699123561887936020480, 1925409377348197859035291587889453626619330560, 2472068582401983350289346536053061182913649906696710374031360

Offset: 0

Author

Olivier Gérard

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..30

Crossrefs

Cf. A028668, A028670, A028671, A028672, A028676, A028677, A028678, A028680, A028682, A028683, A028684, A028686.

Cf. A132268.

Programs

Mathematica

FoldList[ #1*12^#2 (12^#2-1)&, 1, Range[ 20 ] ]
a[n_] := 12^n * Product[12^n - 12^k, {k, 0, n-1}]; Array[a, 8, 0] (* Amiram Eldar, Jul 13 2025 *)

PARI

a(n) = 12^n * prod(k = 0, n-1, 12^n - 12^k); \\ Amiram Eldar, Jul 13 2025

Formula

a(n) = 12^n * Product_{k=0..n-1} (12^n - 12^k).

a(n) ~ c * 12^(n^2+n), where c = A132268. - Amiram Eldar, Jul 13 2025