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 A367776 #16 Dec 02 2023 11:46:41 %S A367776 0,6,240,12600,846720,69854400,6849722880,779155977600, %T A367776 100919250432000,14668613050291200,2364758225077248000, %U A367776 418798681661180620800,80831074222717378560000,16887920864389166592000000,3797443866983262444748800000,914438045469094536918528000000 %N A367776 a(n) = binomial(2*n, n - 1)*(2*n + 1)! / n!. %F A367776 a(n) = A271703(2*n + 1, n). %F A367776 a(n) = binomial(2*n+1,n)*(2n)!/(n-1)! for n > 0. - _Chai Wah Wu_, Nov 30 2023 %F A367776 a(n) = n*A000108(n)*(2*n + 1)!/n!. - _Detlef Meya_, Dec 02 2023 %p A367776 seq(binomial(2*n, n - 1)*(2*n + 1)! / n!, n = 0..15); %t A367776 a[n_]:=n*CatalanNumber[n]*Gamma[2*n+2]/n!;Flatten[Table[a[n],{n,0,15}]] (* _Detlef Meya_, Dec 02 2023 *) %Y A367776 Cf. A000108 (Catalan), A271703. %K A367776 nonn %O A367776 0,2 %A A367776 _Peter Luschny_, Nov 29 2023