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A028686 Pseudo Galois numbers for d=24.

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%I A028686 #15 Jul 14 2025 00:24:53
%S A028686 1,552,182822400,34935377382604800,3845511050527581426155520000,
%T A028686 243818371522804938361462294653739991040000,
%U A028686 8904331592711942612922766177589119660252055149215744000000,187309027227336950425268745082789353880120643944720523727102076558245888000000
%N A028686 Pseudo Galois numbers for d=24.
%H A028686 Vincenzo Librandi, <a href="/A028686/b028686.txt">Table of n, a(n) for n = 0..26</a>
%F A028686 a(n) = 24^n * Product_{k=0..n-1} (24^n - 24^k).
%F A028686 a(n) ~ c * 24^(n^2+n), where c = Product_{k>=1} (1 - 1/24^k) = 0.956597348026... . - _Amiram Eldar_, Jul 14 2025
%t A028686 FoldList[ #1*24^#2 (24^#2-1)&, 1, Range[ 20 ] ]
%t A028686 a[n_] := 24^n * Product[24^n - 24^k, {k, 0, n-1}]; Array[a, 8, 0] (* _Amiram Eldar_, Jul 14 2025 *)
%o A028686 (PARI) a(n) = 24^n * prod(k = 0, n-1, 24^n - 24^k); \\ _Amiram Eldar_, Jul 14 2025
%Y A028686 Cf. A028668, A028670, A028671, A028672, A028674, A028676, A028677, A028678, A028680, A028682, A028683, A028684.
%K A028686 nonn
%O A028686 0,2
%A A028686 _Olivier Gérard_