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 A127974 #26 Jun 25 2024 07:30:56
%S A127974 1,2,5,40,110,308,2618,7480,21505,559130,1621477,4717024,41273960,
%T A127974 120646960,353323240,3109244512,9133405754,26862958100,711868389650,
%U A127974 2098138411600,6189508314220,54821359354520,161972198092900
%N A127974 Numerators in expansion of (1-x)^(-2/3).
%C A127974 Numerators of n!/A008544(n) are A127975.
%H A127974 G. C. Greubel, <a href="/A127974/b127974.txt">Table of n, a(n) for n = 0..1000</a>
%F A127974 a(n) = denominator(n!/A008544(n)).
%F A127974 a(n) = denominator(n!/(Product_{k=0..n-1} (2+3*k))).
%F A127974 Conjecture: a(n-1) = the numerator of (1/(2*sqrt(3)*Pi)) * Integral_{x >= 0} 1/(1 + x^3)^n. - _Peter Bala_, Jun 11 2024
%t A127974 Numerator[CoefficientList[Series[(1 - x)^(-2/3), {x, 0, 50}], x]] (* _G. C. Greubel_, May 07 2018 *)
%Y A127974 Cf. A001790, A008544, A104133, A127975.
%K A127974 easy,nonn,frac
%O A127974 0,2
%A A127974 _Paul Barry_, Feb 09 2007