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 A248812 #24 Sep 08 2022 08:46:10 %S A248812 1,1,2,2,24,24,720,720,40320,40320,3628800,3628800,479001600, %T A248812 479001600,87178291200,87178291200,20922789888000,20922789888000, %U A248812 6402373705728000,6402373705728000,2432902008176640000,2432902008176640000,1124000727777607680000 %N A248812 Repeated terms of (2n)! (A010050). %C A248812 For n>1, a(n) is the product of the smallest parts in the partitions of 4*floor(n/2) = A168273(n) into two parts. %H A248812 <a href="/index/Par#part">Index entries for sequences related to partitions</a> %F A248812 a(n) = ( 2*floor(n/2) )! = A000142(A052928(n)). %F A248812 a(2n) = a(2n+1) = A010050(n) = A211374(2n-1). %F A248812 E.g.f.: log((1+x)/(1-x))/2+1/(1-x^2). - _Robert Israel_, Oct 19 2014 %p A248812 A248812:=n->(2*floor(n/2))!: seq(A248812(n), n=0..20); %t A248812 Table[(2*Floor[n/2])!, {n, 0, 20}] %o A248812 (Magma) [Factorial(2*Floor(n/2)) : n in [0..20]]; %Y A248812 Cf. A000142, A052928, A010050, A168273, A211374. %K A248812 nonn,easy %O A248812 0,3 %A A248812 _Wesley Ivan Hurt_, Oct 16 2014