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 A367274 #8 Nov 29 2023 11:03:51
%S A367274 1,1,2,6,24,90,540,2240,17920,78750,787500,3592512,43110144,201885684,
%T A367274 2826399576,13495173120,215922769920,1046465787510,18836384175180,
%U A367274 92378000000000,1847560000000000,9148544655566316,201267982422458952,1004605271823089664,24110526523754151936
%N A367274 a(n) = binomial(n, k) * (n - k)^k where k = floor(n/2).
%p A367274 a := n -> binomial(n, iquo(n, 2))*(n - iquo(n, 2))^iquo(n, 2):
%p A367274 seq(a(n), n = 0..24);
%t A367274 A367274[n_]:=If[n==0,1,With[{k=Floor[n/2]},Binomial[n,k](n-k)^k]];
%t A367274 Array[A367274,30,0] (* _Paolo Xausa_, Nov 29 2023 *)
%Y A367274 Cf. A059299.
%K A367274 nonn
%O A367274 0,3
%A A367274 _Peter Luschny_, Nov 12 2023