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 A216706 #23 Aug 17 2025 03:50:31
%S A216706 1,90,8550,826500,80583750,7897207500,776558737500,76546504125000,
%T A216706 7558967282343750,747497875698437500,74002289694145312500,
%U A216706 7332954160601671875000,727184620926332460937500,72159089307305298046875000,7164366724082454591796875000
%N A216706 a(n) = Product_{k=1..n} (100 - 10/k).
%C A216706 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 A216706 From _Amiram Eldar_, Aug 17 2025: (Start)
%F A216706 a(n) = 100^n * Gamma(n+9/10) / (Gamma(9/10) * Gamma(n+1)).
%F A216706 a(n) ~ c * 100^n / n^(1/10), where c = 1/Gamma(9/10) = 1/A340725 = 0.935778... . (End)
%p A216706 seq(product(100-10/k, k=1.. n), n=0..20);
%p A216706 seq((10^n/n!)*product(10*k+9, k=0.. n-1), n=0..20);
%Y A216706 Cf. A004988, A049382, A004994, A216702, A216703, A216704, A216705, A340725.
%K A216706 nonn
%O A216706 0,2
%A A216706 _Michel Lagneau_, Sep 16 2012