cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A028693 24-factorial numbers.

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%I A028693 #19 Jul 15 2025 11:02:20
%S A028693 1,23,13225,182809175,60651514035625,482945140644890444375,
%T A028693 92292253139031982469134515625,
%U A028693 423295781586452233477722435457009484375,46594416147080909523690749946376478698532878515625,123093479909646650570543074660375014342475500150254964721484375
%N A028693 24-factorial numbers.
%H A028693 Vincenzo Librandi, <a href="/A028693/b028693.txt">Table of n, a(n) for n = 1..38</a>
%H A028693 <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>.
%F A028693 From _Amiram Eldar_, Jul 14 2025: (Start)
%F A028693 a(n) = Product_{k=1..n} (24^k-1).
%F A028693 a(n) ~ c * 24^(n*(n+1)/2), where c = Product_{k>=1} (1 - 1/24^k) = 0.956597348026... . (End)
%t A028693 FoldList[ #1 (24^#2-1)&, 1, Range[ 20 ] ]
%t A028693 a[n_] := Abs[QPochhammer[24, 24, n]]; Array[a, 10, 0] (* _Amiram Eldar_, Jul 14 2025 *)
%o A028693 (PARI) a(n) = prod(k = 1, n, 24^k - 1); \\ _Amiram Eldar_, Jul 14 2025
%Y A028693 Cf. A005329, A027871, A027637, A027872, A027873, A027875, A027876, A027877, A027878, A027879, A027880, A028692, A028694.
%K A028693 nonn
%O A028693 1,2
%A A028693 _Olivier Gérard_