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 A114251 #12 Sep 06 2025 15:44:28
%S A114251 1,50,1386,30576,600600,11027016,193993800,3316739712,55588369122,
%T A114251 918398981500,15013703965260,243495727020000,3925151119562400,
%U A114251 62976611010020400,1006711677146430000,16046173576808179200,255175067057177767500,4050491847815341688760
%N A114251 a(n) = C(3+2*n,3+n)*C(8+2*n,0+n).
%F A114251 From _Amiram Eldar_, Sep 06 2025: (Start)
%F A114251 a(n) = A002054(n+1) * A004310(n+4).
%F A114251 a(n) ~ 2^(4*n+11) / (Pi*n). (End)
%e A114251 If n=0 then C(3+2*0,3+0)*C(8+2*0,0+0) = C(3,3)*C(8,0) = 1*1 = 1.
%e A114251 If n=7 then C(3+2*7,3+7)*C(8+2*7,0+7) = C(17,10)*C(22,7) = 19448*170544 = 3316739712.
%t A114251 Table[Binomial[3+2n,3+n]Binomial[8+2n,n],{n,0,20}] (* _Harvey P. Dale_, Jul 26 2019 *)
%Y A114251 Cf. A002054, A004310, A062190.
%K A114251 easy,nonn,changed
%O A114251 0,2
%A A114251 _Zerinvary Lajos_, Feb 04 2006
%E A114251 More terms from _Harvey P. Dale_, Jul 26 2019