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 A034272 #16 Sep 04 2025 01:56:09 %S A034272 0,1,17,154,1066,6370,34748,178296,875976,4167669,19348175,88112310, %T A034272 395137470,1749894510,7669512840,33323053200,143720109360, %U A034272 615950596170,2625443201394,11137650267156,47051359045460,198038873490436,830820684414952,3475320352223440,14499176256634160 %N A034272 a(n) = f(n,n+5) where f is given in A034261. %F A034272 From _Amiram Eldar_, Sep 04 2025: (Start) %F A034272 a(n) = binomial(2*n+5, n+6)*(n^2+6*n+1)/(n+7); %F A034272 a(n) ~ 2^(2*n+5) * sqrt(n/Pi). (End) %t A034272 a[n_] := Binomial[2*n + 5, n + 6]*(n^2 + 6*n + 1)/(n + 7); Array[a, 25, 0] (* _Amiram Eldar_, Sep 04 2025 *) %Y A034272 Cf. A034261. %K A034272 nonn,changed %O A034272 0,3 %A A034272 _Clark Kimberling_ %E A034272 Corrected and extended by _N. J. A. Sloane_, Apr 21 2000