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 A125824 #21 Sep 08 2022 08:45:29 %S A125824 1,3,9,9,27,81,81,243,729,243,729,2187,2187,6561,19683,19683,59049, %T A125824 177147,59049,177147,531441,531441,1594323,4782969,4782969,14348907, %U A125824 43046721,4782969,14348907,43046721,43046721,129140163,387420489 %N A125824 Denominator of n!/3^n. %H A125824 G. C. Greubel, <a href="/A125824/b125824.txt">Table of n, a(n) for n = 0..1000</a> %F A125824 a(0)=1, a(3n+2) = 3^(n+2)*a(n), a(3n+1) = 3^(n+1)*a(n), a(3n) = 3^n*a(n). %F A125824 a(n) = 3^A089792(n). %F A125824 a(n) = denominator((1/(2*Pi)) * Integral_{t=0..2*Pi} exp(i*3*t)(-((Pi-t)/i)^n), i=sqrt(-1). - _Paul Barry_, Apr 02 2007 %t A125824 Table[Denominator[n!/3^n], {n,0,40}] (* _G. C. Greubel_, Aug 03 2019 *) %o A125824 (PARI) a(n)=denominator(n!/3^n) %o A125824 (Magma) [Denominator(Factorial(n)/3^n): n in [0..40]]; // _G. C. Greubel_, Aug 03 2019 %o A125824 (Sage) [denominator(factorial(n)/3^n) for n in (0..40)] # _G. C. Greubel_, Aug 03 2019 %o A125824 (GAP) List([0..40], n-> DenominatorRat(Factorial(n)/3^n) ); # _G. C. Greubel_, Aug 03 2019 %Y A125824 A212307 (numerators). %K A125824 nonn,frac %O A125824 0,2 %A A125824 _Benoit Cloitre_, Feb 06 2007