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 A145921 #10 Jan 19 2024 20:16:22
%S A145921 1,8,81,2048,15625,6718464,5764801,2147483648,31381059609,
%T A145921 64000000000000,3138428376721,2218611106740436992,3937376385699289,
%U A145921 1115112108958398021632,39903080760955810546875,604462909807314587353088,14063084452067724991009,16918235275724100929608539439104
%N A145921 Numerator of n*B(n,1+1/n), where B(.,.) is the Beta Function.
%C A145921 n*B(n,1+1/n) = Gamma(n+1)*Gamma(1+1/n)/Gamma(1+n+1/n) is the integral over F(n)=[1-x^(1/n)]^(1/n) from x=0 to 1.
%e A145921 The fractions are 1/2, 8/15, 81/140, 2048/3315, 15625/24024, ...
%p A145921 seq( numer(n*Beta(n,1+1/n)),n=1..30) ;
%t A145921 Table[Numerator[n Beta[n, 1 + 1/n]], {n, 1, 15}] (* _Jean-François Alcover_, Sep 26 2018 *)
%o A145921 (Derive) VECTOR(NUMERATOR(F(n)), n, 1, 10)
%K A145921 nonn,frac
%O A145921 1,2
%A A145921 Jose Luis (jl_altamirano(AT)yahoo.com), Oct 25 2008
%E A145921 Definition clarified by _R. J. Mathar_, Dec 08 2008