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 A232982 #14 Feb 24 2022 02:06:18 %S A232982 1,1,1,1,1,5,5,35,35,35,35,385,385,5005,5005,5005,5005,85085,85085, %T A232982 1616615,1616615,1616615,1616615,37182145,37182145,929553625, %U A232982 929553625,929553625,929553625,26957055125,26957055125,835668708875,835668708875,835668708875,835668708875,29248404810625,29248404810625 %N A232982 The Gauss factorial n_6!. %C A232982 The Gauss factorial n_k! is defined to be Product_{1<=j<=n, gcd(j,k)=1} j. %H A232982 J. B. Cosgrave and K. Dilcher, <a href="http://www.jstor.org/stable/10.4169/amer.math.monthly.118.09.812">An introduction to Gauss factorials</a>, Amer. Math. Monthly, 118 (2011), 810-828. %H A232982 J. B. Cosgrave and K. Dilcher, <a href="http://dx.doi.org/10.1007/s10474-013-0357-1">The Gauss-Wilson theorem for quarter-intervals</a>, Acta Mathematica Hungarica, Sept. 2013. %p A232982 Gf:=proc(N,n) local j,k; k:=1; %p A232982 for j from 1 to N do if gcd(j,n)=1 then k:=j*k; fi; od; k; end; %p A232982 f:=n->[seq(Gf(N,n),N=0..40)]; %p A232982 f(6); %o A232982 (Magma) k:=6; [IsZero(n) select 1 else &*[j: j in [1..n] | IsOne(GCD(j,k))]: n in [0..40]]; // _Bruno Berselli_, Dec 10 2013 %Y A232982 The Gauss factorials n_1!, n_2!, n_3!, n_5!, n_6!, n_7!, n_10!, n_11! are A000142, A055634, A232980-A232985 respectively. %K A232982 nonn %O A232982 0,6 %A A232982 _N. J. A. Sloane_, Dec 08 2013