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.
%I A216788 #18 Aug 17 2025 03:50:39
%S A216788 1,156,25350,4174300,691890225,115130533440,19207610662240,
%T A216788 3210414924974400,537343198067590200,90034838076214002400,
%U A216788 15098842345381088202480,2533860269961226256525280,425477370330989242241536600,71480198215606192696578148800
%N A216788 a(n) = Product_{k=1..n} (169 - 13/k).
%C A216788 This sequence is generalizable: Product_{k=1..n} (q^2 - q/k) = (q^n/n!) * Product_{k=0..n-1} (q*k + q-1) = expansion of (1- x*q^2)^((1-q)/q).
%F A216788 From _Amiram Eldar_, Aug 17 2025: (Start)
%F A216788 a(n) = 169^n * Gamma(n+12/13) / (Gamma(12/13) * Gamma(n+1)).
%F A216788 a(n) ~ c * 169^n / n^(1/13), where c = 1/Gamma(12/13) = 0.951742... . (End)
%p A216788 seq(product(169-13/k, k=1.. n), n=0..20);
%p A216788 seq((13^n/n!)*product(13*k+12, k=0.. n-1), n=0..20);
%t A216788 Table[Product[169-13/k,{k,n}],{n,0,20}] (* _Harvey P. Dale_, Mar 13 2013 *)
%Y A216788 Cf. A004988, A049382, A004994, A216702, A216703, A216704, A216705, A216706, A216786, A216787.
%K A216788 nonn
%O A216788 0,2
%A A216788 _Michel Lagneau_, Sep 16 2012